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Conversion between different units - class-X

Description: conversion between different units
Number of Questions: 49
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Tags: measurement of length, mass and capacity weight and volume maths problems on measurement time, speed and distance knowing our numbers decimal forms length, mass and capacity capacity many more litres length weight understanding measurement
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A conical cup 36 cm high has diameter of base 28 cm It is full of water. The water was poured into a cylindrical jar of radius of base 10 cm. The height of water in the vessel is

maths problems on measurement basic operations with same units operations involving units of length calculations choosing and converting between units conversion between different units conversion between units

  1. 23.52 cm

  2. 16.92 cm

  3. 11.76 cm

  4. 13.65 cm

Show answer
Correct Option: A
Explanation:

Vol. of cylinder =Vol. of cone 
$\displaystyle \Rightarrow \pi \times 10^{2}\times h=\dfrac{1}{3}\pi \times 14^{2}\times 36$
$\displaystyle \Rightarrow h=23.52cm$

A wire in the form of circle of diameter 42 cm is cut and bent to form a square. The side of the square is

maths problems on measurement basic operations with same units operations involving units of length calculations choosing and converting between units conversion between different units conversion between units

  1. 16 cm

  2. 17 cm

  3. 33 cm

  4. 16.5 cm

Show answer
Correct Option: C
Explanation:

Perimeter of square = Circumference of circle


$\displaystyle 4\times side=\frac{22}{7}\times d$ where $d$ is diameter.

$\displaystyle 4\times side=\frac{22}{7}\times 42=132$
$\displaystyle \Rightarrow side=33\ cm$

Convert $4\ m\ 45\ cm$ into centimetres.

maths problems on measurement basic operations with same units operations involving units of length calculations choosing and converting between units conversion between different units conversion between units

  1. $445\ cm$

  2. $4450\ cm$

  3. $4.45\ cm$

  4. $4045\ cm$

Show answer
Correct Option: A
Explanation:

We know that, $1$  $meter =100$  $cm$


To convert  $4$ $m$  $45$  $cm$  to  $centimeter$
Now, $4$ $m = 100 \times 4$  $cm$ $= 400$  $centimeter$
$4$ $m$  $45$  $cm$ $ = 4m + 45cm$
                      $ = 400cm + 45cm$
                      $ = 445cm$

So, Option $A$ is correct

A box contains $4$ bags of sugar. The total mass of all $4$ bags is $7$ kg. What is the mass of each bag in grams?

maths problems on measurement basic operations with same units operations involving units of length calculations choosing and converting between units conversion between different units conversion between units

  1. $1.75$ gms

  2. $17.50$ gms

  3. $175$ gms

  4. $1750$ gms

Show answer
Correct Option: D
Explanation:

Total number of Bags $=4$


Total mass in 4 Bags $=7 kg$

Total mass in $1$ bag $=\dfrac74 $   $kg$

We know that

$1$  $kg =1000$  $gram$

$1$  $gm =\dfrac1{1000}$  $kg$

we have to convert $\dfrac74$  $kg$  to   $grams$


$\dfrac74$  $kg =\dfrac74 \times 1000$  $gm$

                $=1750$  $gm$

So, Option $D $ is correct 

Steven goes to the grocery store and is looking at a winter squash. It has a mass of $1.8$ kilograms. How many grams is the winter squash? 

maths problems on measurement basic operations with same units operations involving units of length calculations choosing and converting between units conversion between different units conversion between units

  1. $1800$ gms

  2. $180$ gms

  3. $18$ gms

  4. $1.8$ gms

Show answer
Correct Option: A
Explanation:
Total mass of  Winter squash $=1.8$   $kilograms$

We know that

$1$  $kg =1000$  $gram$

$1$  $gm =\dfrac1{1000}$  $kg$

we have to convert $1.8$  $kg$  to   $grams$


$1.8$  $kg =1.8  \times 1000$  $gm$

                $=1800$  $gm$

So, Option $A $ is correct 

Convert $745$ cm into decimeters.

maths problems on measurement basic operations with same units operations involving units of length calculations choosing and converting between units conversion between different units conversion between units

  1. $745\ dm$

  2. $0\ dm\ 745\ cm$

  3. $7\ dm\ 45\ cm$

  4. $74\ dm\ 5\ cm$

Show answer
Correct Option: D
Explanation:

We know that, $1$  $deci meter =10$  $cm$, $1$  $cm =\dfrac1{10}$  $dm$


$745$  $cm =\dfrac1{10} \times 745$  $dm$

                $=\dfrac{745}{10}   $  $dm$

                 $= 74.5$  $deci meter$  $= 74$  $dm$  $5 $ $cm$

So, Option $D$ is correct

Convert $328\ mm\ 45\ cm$ into meters.

maths problems on measurement basic operations with same units operations involving units of length calculations choosing and converting between units conversion between different units conversion between units

  1. $3.73\ m$

  2. $33.25\ m$

  3. $77.8\ m$

  4. $0.778\ m$

Show answer
Correct Option: D
Explanation:

We know that $1$  $centimeter =10$  $mm$, $1$  $meter =100$  $cm$ and $1$  $meter =1000$  $mm$


or   $1$  $mm =\dfrac{1}{10}$  $cm$ or   $1$  $mm =\dfrac{1}{1000}$  $m$

To convert  $328$ $mm$ $45$  $cm$  to  $meters$

$328\ mm$ $45$  $cm$ $ = 328\ mm + 45cm$

$328$ $mm =\dfrac{1}{1000} \times 328$  $m$ $= 0.328$  $m$

$45$ $cm =\dfrac{1}{100} \times 4 5$  $m$ $= 0.45$  $m$


$328\ mm$ $45$  $cm$ $ = 328\ mm + 45\ cm  =   (0.328+0.45)  m$

                              $ = 0.778$  $m$

Rosy measured a line for his art project. It is $400$ millimeters long. How many centimeters is the line?

maths problems on measurement basic operations with same units operations involving units of length calculations choosing and converting between units conversion between different units conversion between units

  1. $40$ cm

  2. $4$cm

  3. $400$ cm

  4. $0.4$ cm

Show answer
Correct Option: A
Explanation:
The total length of the line is $400$ mm.
We know $1$  $\text{centimeter} =10$ $\text{millimeters}$
$1$ mm $=\dfrac1{10}$ cm
We have to convert the $400$ mm to cm.
$400$ mm $ =\dfrac1{10} \times 400$ cm
$=\dfrac{400}{10}   $ cm
$= 40  $   $\text{centimeter}$
The line is  $40$ cm long.
So, option A is correct.

Convert $3\ km\ 4\ m\ 350\ cm$ into centimetres.

maths problems on measurement basic operations with same units operations involving units of length calculations choosing and converting between units conversion between different units conversion between units

  1. $10750\ cm$

  2. $3750\ cm$

  3. $30750\ cm$

  4. $300750\ cm$

Show answer
Correct Option: D
Explanation:

We know that, $1$  $kilometer =1000$  $m$


$1$  $meter =100$  $cm$ or   $1$  $kilometer =100,000$  $cm$

To convert  $3$ $km$ $4m$  $350$  $cm$  to  $centimeter$

$3$ $km$ $4\ m$ $350$ $cm$ $ =3km+ 4m + 350cm$

$3$ $km = 100000 \times 3$  $cm$ $= 300000$  $cm$

$4$ $m = 100 \times 4$  $cm$ $= 400$  $cm$

$\therefore 3$ $km$  $4m$ $350$  $cm$ $ =3km+ 4m + 350cm  =   (300000+400+350)  cm$
                                      $ = 300750cm$

Hence, option $D$ is correct.

Convert the following into metres:
$1436\ cm$

maths problems on measurement basic operations with same units operations involving units of length calculations choosing and converting between units conversion between different units conversion between units

  1. $1.436\ m$

  2. $14.36\ m$

  3. $143.6\ m$

  4. $1436\ m$

Show answer
Correct Option: B
Explanation:

We know that


$1$  $meter =100$  $cm$

$1$  $cm =\dfrac1{100}$  $m$

Given That , we have to convert $1436$  $cm$ into $m$

$1436$  $cm =\dfrac{1}{100} \times 1436$  $m$

                $=14.36$  $m$

So, Option $B $ is correct 

Convert $4000\ mm\ 400\ cm$ into meters.

maths problems on measurement basic operations with same units operations involving units of length calculations choosing and converting between units conversion between different units conversion between units

  1. $44\ m$

  2. $4.4\ m$

  3. $8\ m$

  4. $80\ m$

Show answer
Correct Option: C
Explanation:

We know that, $1$  $centimeter =10$  $mm$, $1$  $meter =100$  $cm$

$1$  $meter =1000$  $mm$ or   $1$  $mm =\dfrac{1}{10}$  $cm$ or   $1$  $mm =\dfrac{1}{1000}$  $m$

To convert  $4000$ $mm$ $400$  $cm$  to  $meters$

$4000mm$ $400$  $cm$ $ = 4000mm + 400cm$

Now, $4000$ $mm =\dfrac{1}{1000} \times 4000$  $m$ $= 4$  $m$
$400$ $cm =\dfrac{1}{100} \times 4 00$ $m$ $= 4$ $m$


$4000mm$ $400$ $cm$ $ = 4000mm + 400cm  =   (4+4)  m$

                                $ = 8$  $m$

So, Option $C$ is correct

Convert $23\ dm\ 9\ cm$ into centimeters.

maths problems on measurement basic operations with same units operations involving units of length calculations choosing and converting between units conversion between different units conversion between units

  1. $2.39\ cm$

  2. $23.9\ cm$

  3. $239\ cm$

  4. $2390\ cm$

Show answer
Correct Option: C
Explanation:

We know that, $1$  $meter =100$  $cm$, $1$  $decimeter =10$  $centi meter$


To convert  $23$ $dm$  $9$  $cm$  to  $centimeter$
Now, $23$ $dm = 23 \times 10$  $cm$ $= 230$  $centimeter$

$23$ $dm$  $9$  $cm$ $ = 23dm + 9cm$
                         $ = 230cm + 9cm$
                         $ = 239cm$

So, Option $C$ is correct

Convert $3\ m\ 40\ cm$ into millimeters.

maths problems on measurement basic operations with same units operations involving units of length calculations choosing and converting between units conversion between different units conversion between units

  1. $7000\ mm$

  2. $3400\ mm$

  3. $4300\ mm$

  4. $700\ mm$

Show answer
Correct Option: B
Explanation:

We know that


$1$  $meter =100$  $cm$

$1$  $centimeter =10$  $milli meter$

$1$  $ meter =1000$  $mm$


Given That, we have to convert  $3$ $m$  $40$  $cm$  to  $millimeter$


$40$ $cm = 10 \times 40$  $mm$

               $= 400$  $millimeter$
And 

$3$ $m = 1000 \times 3$  $mm$

               $= 3000$  $millimeter$

$3$ $m$  $40$  $cm$ $ = 3m + 40cm$


                   $ = 3000mm + 400mm$
                   $ = 3400mm$

So, Option $B$ is correct

Convert $6045\ m$ into kilometres and metres.

maths problems on measurement basic operations with same units operations involving units of length calculations choosing and converting between units conversion between different units conversion between units

  1. $6\ km\ 45\ m$

  2. $60\ km\ 45\ m$

  3. $6\ km\ 450\ m$

  4. $645\ km$

Show answer
Correct Option: A
Explanation:

We know that


$1$  $kilo meter =1000$  $m$

$1$  $m =\dfrac1{1000}$  $km$

Given That, we have to convert $6045$  $m$  to   $kilometer$

$6045$  $m =\dfrac1{1000} \times 6045$  $km$

                $=\dfrac{6045}{1000}   $  $km$

                 $= 6.045$  $kilo meter$

or    $= 6$  $km$  $45 $ $m$

So, Option $A$ is correct

Jessica walks $2\ km$ a day. How many meters does she walk in two days ?

maths problems on measurement basic operations with same units operations involving units of length calculations choosing and converting between units conversion between different units conversion between units

  1. $40$ meters

  2. $400$ meters

  3. $4000$ meters

  4. $4$ meters

Show answer
Correct Option: C
Explanation:

given that 

Jessica walks $2 km$ a day.
Total distance travelled by Jessica in TWO days  is $2 \times 2 =4km$



We know that

$1$  $kilometer =1000$  $m$

$1$  $m =\dfrac1{1000}$  $km$

Given That, we have to convert $4$  $km$ into $m$

$4$  $km =4 \times 1000$  $m$

                $=4000$  $m$

So, Option $C $ is correct 

Convert $567\ mm$ into decimeters.

maths problems on measurement basic operations with same units operations involving units of length calculations choosing and converting between units conversion between different units conversion between units

  1. $567\ dm$

  2. $56.7\ dm$

  3. $5.67\ dm$

  4. $0.567\ dm$

Show answer
Correct Option: C
Explanation:

We know that


$1$  $deci meter =10$  $cm$

$1$  $centimeter =10$  $milli meter$

$1$  $deci meter =100$  $mm$

$1$  $mm =\dfrac1{100}$  $dm$

Given That, we have to convert $567$  $mm$  to  $decimeter$

$567$ $cm =\dfrac1{100} \times 567$  $dm$

                $=\dfrac{567}{100}   $  $dm$

                 $= 5.67$  $deci meter$


So, Option $C$ is correct

Convert $4\ cm\  38\ m$ into decimeters.

maths problems on measurement basic operations with same units operations involving units of length calculations choosing and converting between units conversion between different units conversion between units

  1. $384\ dm$

  2. $380.4\ dm$

  3. $420\ dm$

  4. $38.04\ dm$

Show answer
Correct Option: B
Explanation:

We know that, $1$ $decimeter =10$ $cm$, $1$  $meter =10$  $dm$ or $1$  $centimeter =\dfrac{1}{10}$  $dm$

To convert  $4$ $cm$ $38$  $m$  to  $decimeter$

$4\ cm$ $38$ $m$ $ = 4cm + 38m$
Now, $38$ $m = 10 \times 38$  $dm$ $= 380$  $dm$
$4$ $cm =\dfrac{1}{10} \times 4$ $dm$ $= 0.4$  $dm$


$4\ cm$ $38$ $m$ $ = 4cm + 38m  =   (0.4+380)  dm$ $ = 380.4 $  $dm$


So, Option $B$ is correct

Convert $12\ dm$ into millimeters.

maths problems on measurement basic operations with same units operations involving units of length calculations choosing and converting between units conversion between different units conversion between units

  1. $1200\ mm$

  2. $120\ mm$

  3. $12\ mm$

  4. $1.2\ mm$

Show answer
Correct Option: A
Explanation:

We know that

$mm = millimeter$

$1$  $deci meter =10$  $cm$

$1$  $centi meter =10$  $mm$

$1$  $deci meter =100$  $mm$


$12$  $dm =12 \times 100$  $mm$

                 $= 1200$  $milli meter$

So, Option $A$ is correct

Write following $12$ hour times into $24$ hour times.
$7:43$ pm

maths problems on measurement basic operations with same units operations involving units of length calculations choosing and converting between units conversion between different units conversion between units

  1. $7:43$

  2. $19:43$

  3. $19:43$ pm

  4. $19:43$ am

Show answer
Correct Option: B
Explanation:

To change a $pm$ time to $24$ hours time , you have to add $12 \ \ pm$ to the hours unless it is $12\ \ pm$ then the time remain unchanged .

$7:43\ \ pm=(7+12):43=19:43$
option $B$ is correct.

Convert the following as directed 

maths problems on measurement basic operations with same units operations involving units of length calculations choosing and converting between units conversion between different units conversion between units

  1. 7000 m into km

  2. 3560 mm to m

  3. 1510 m to km

  4. 1635 cm to m

Show answer
Correct Option: A

A copper sphere of diameter 6 cm is drawn into a wire of diameter 0.4 cm. The length of the wire is

maths problems on measurement basic operations with same units operations involving units of length calculations choosing and converting between units conversion between different units conversion between units

  1. 6 m

  2. 8 m

  3. 9 m

  4. None of these

Show answer
Correct Option: C
Explanation:

Volume of wire (cyl)= Vol of sphere 
$\displaystyle \Rightarrow \pi \times \left ( 0.2 \right )^{2}\times h=\dfrac{4}{3}\times \pi \times 3^{3}$
$\displaystyle\Rightarrow h=900 cm = 9 m $

Diameter of a copper sphere is 6 cm. The sphere is melted and drawn into a wire of uniform circular cross section which is 72 cm long .The diameter of the wire is nearly

maths problems on measurement basic operations with same units operations involving units of length calculations choosing and converting between units conversion between different units conversion between units

  1. 2.8 cm

  2. 2.7 cm

  3. 1.4 cm

  4. None of these

Show answer
Correct Option: C
Explanation:

Volume of wire (cyl)=Volume of sphere 
$\displaystyle \Rightarrow \pi r^{2}\times 72=\dfrac{4}{3}\pi \times 3^{3}$
$\displaystyle \Rightarrow r=\dfrac{1}{\sqrt{2}}cm$
Thus diameter$\displaystyle \dfrac{2}{\sqrt{2}}cm=\sqrt{2}cm=1.4cm$

A right circular cylinder and a sphere are of equal volumes and their radii are also equal If h is the height of the cylinder and d is the diameter of the sphere then

maths problems on measurement basic operations with same units operations involving units of length calculations choosing and converting between units conversion between different units conversion between units

  1. $\displaystyle \frac{h}{3}=\frac{d}{2} $

  2. $\displaystyle \frac{h}{2}=\frac{d}{3} $

  3. $2h = d$

  4. $h = d$

Show answer
Correct Option: B
Explanation:

Volume of cylinder = Volume of sphere
$\displaystyle \Rightarrow \pi \left ( \dfrac{d}{2} \right )^{2}h=\dfrac{4}{3}\pi \left ( \dfrac{d}{2} \right )^{3}$
$\displaystyle \Rightarrow h=\dfrac{2}{3}d\Rightarrow \dfrac{h}{2}=\dfrac{d}{3}$

There is a rod of length $4\ cm$ and another rod of length $500\ mm$ has been joined to the first rod. Then the length of the rod(in cm) formed by joining these $2$ is :

maths problems on measurement basic operations with same units operations involving units of length calculations choosing and converting between units conversion between different units conversion between units

  1. $450\ cm$

  2. $54\ cm$

  3. $9\ cm$

  4. $4.5\ cm$

Show answer
Correct Option: B
Explanation:
Length of first Rod is $4cm$

Length of second Rod is $500mm$

Total Length of the Rod  by joining these two rods is $4cm$ $500mm$

We know that, $1$  $centimeter =10$ $mm$, $1$  $mm =\dfrac{1}{10}$  $cm$

We need to convert  $4$ $cm$ $500$  $mm$  to  $centimeter$
$4cm$ $500$  $mm$ $ = 4cm + 500mm$
Now, $500$ $mm =\dfrac{1}{10} \times 500$ $cm$ $= 50$  $cm$
$\therefore 4cm\ 500\ mm=4cm + 500mm=(4+50)cm$ $=54\ cm$

So, Option $B$ is correct

1 MB = _________KB

maths length, mass and capacity problems on measurement choosing and converting between units conversion between different units

  1. $\displaystyle 2^{8}$

  2. $\displaystyle 2^{20}$

  3. $\displaystyle 2^{9}$

  4. $\displaystyle 2^{10}$

Show answer
Correct Option: D
Explanation:

$ 1 MB = 1024 KB $  which is also equal to $ {2}^{10} KB $

Express $49$ milligrams in centigrams.

maths length, mass and capacity problems on measurement choosing and converting between units conversion between different units

  1. $490$ centigrams

  2. $4900$ centigrams

  3. $0.049$ centigrams

  4. $4.9$ centigrams

Show answer
Correct Option: D
Explanation:

$1$ centigram is equal to $10$ milligrams.
Therefore, $49$ milligrams is equal to $\dfrac{1}{10} \times 49 = 4.9$ centigrams.

Convert the following into quintal:
$400\ $ ton

maths length, mass and capacity problems on measurement choosing and converting between units conversion between different units

  1. $400$ quintal

  2. $4,000$ quintal

  3. $40$ quintal

  4. $4$ quintal

Show answer
Correct Option: B
Explanation:

We know that


$1$  $ton =10$  $quintal$

$1$  $quintal =\dfrac1{10}$  $ton$

Given That, we have to convert $400$  $ton$  to   $quintals$

$400$  $tons =400 \times 10$  $quintals$

                   
                   $=4,000$  $quintals$

So, option $B$ is correct

Convert the following into kilograms :
$2.3$ ton

maths length, mass and capacity problems on measurement choosing and converting between units conversion between different units

  1. $23\ kg$

  2. $23,000\ kg$

  3. $230\ kg$

  4. $2,300\ kg$

Show answer
Correct Option: D
Explanation:

We know that


$1$  $ton =1000$  $kilograms$

$1$  $kg =\dfrac1{1000}$  $ton$

Given That, we have to convert $2.3$  $tons$  to   $kg$

$2.3$  $ton =2.3 \times 1000$  $kg$

                    $ = 2,300$  $kg$

So, option $D$ is correct

Convert the following into kilograms :
$400\ gm$ 

maths length, mass and capacity problems on measurement choosing and converting between units conversion between different units

  1. $0.4\ kg$

  2. $4\ kg$

  3. $40\ kg$

  4. $400\ kg$

Show answer
Correct Option: A
Explanation:

We know that


$1$  $kilogram =1000$  $gram$

$1$  $gm =\dfrac1{1000}$  $kg$

Given That, we have to convert $400$  $gm$  to   $kg$

$400$  $gm =\dfrac{1}{1000} \times 400$  $kg$

                    $ =\dfrac{400}{1000} $  $kg$

                   $=0.4$  $kg$

So, option $A$ is correct

Convert the following into tons :
$670$ quintal

maths length, mass and capacity problems on measurement choosing and converting between units conversion between different units

  1. $6700$ tons

  2. $670$ tons

  3. $67$ tons

  4. $6.7$ tons

Show answer
Correct Option: C
Explanation:

We know that


$1$  $ton =10$  $quintal$

$1$  $quintal =\dfrac1{10}$  $ton$

Given That, we have to convert $670$  $quintal$  to   $tons$

$670$  $quintals =\dfrac{1}{10} \times 670$  $tons$

                    $ =\dfrac{670}{10} $  $tons$

                   $=67$  $tons$

So, option $C$ is correct

Convert the following into grams :
$23\ kg\ 13\ g$

maths length, mass and capacity problems on measurement choosing and converting between units conversion between different units

  1. $23,130\ g$

  2. $2,313\ g$

  3. $23,013\ g$

  4. $213\ g$

Show answer
Correct Option: C
Explanation:

We know that


$1$  $kg =1000$  $gm$


Given That, we have to convert  $23$ $kg$  $13$  $gm$  to  $grams$


$23$ $kg = 23 \times 1000$  $grams$

               $= 23000$  $grams$

$23$ $kg$  $13$  $gm$ $ = 23kg + 13gm$

                   $ = 23000gm + 13gm$
                   $ = 23,013   $    $   gm$

So, Option $C$ is correct

On expressing the following in kilograms:
$247g$=$02.47kg$

maths length, mass and capacity problems on measurement choosing and converting between units conversion between different units

  1. True

  2. False

Show answer
Correct Option: B
Explanation:
To convert grams into kilograms we divide the given value by 1,000. A kilogram is one thousand grams.
247 grams= 247/1000 kilograms
247 grams= 0.247 kilograms
0.247≠2.47
So the given statement is false.
Option B is the correct answer

Express the following in kilograms:
$44kg$ $80gm$ = $44.08kg$

maths length, mass and capacity problems on measurement choosing and converting between units conversion between different units

  1. True

  2. False

Show answer
Correct Option: A
Explanation:

To convert grams into kilograms we divide the given value by 1,000. A kilogram is one thousand grams.

80 grams= 80/1000 kilograms
So 80 grams = 0.08 kilograms.
44kg 80 grams = 44+0.080 kilograms
44kg 80 grams= 44.08 kilograms.
So option A is the correct answer.

Convert $2.387$ kg into grams.

maths length, mass and capacity problems on measurement choosing and converting between units conversion between different units

  1. $2.387$ g

  2. $23.87$ g

  3. $238.7$ g

  4. $2387$ g

Show answer
Correct Option: D
Explanation:

$1\ \ kg=1000\ \ g\ 2.387\ \ kg=2.387\times 1000=2387\ \ g$

So option $D$ is correct

Express the following in kilograms:
$190g$=$0.19kg$

maths length, mass and capacity problems on measurement choosing and converting between units conversion between different units

  1. True

  2. False

Show answer
Correct Option: A
Explanation:
To convert grams into kilograms, we divide by 1,000. A kilogram is one thousand grams.
So 190 grams = 190/1000 kilograms
190grams=0.19 kilograms.
So option A is the correct answer.

What is $873878\ mg$ into grams ?

maths length, mass and capacity problems on measurement choosing and converting between units conversion between different units

  1. $873.878\ g$

  2. $87.3878\ g$

  3. $8738.78\ g$

  4. $87387.8\ g$

Show answer
Correct Option: A
Explanation:

$1\ \ g=1000\ \ mg$

$1 \ \ mg=\dfrac{1}{1000} \ \ g$
$\Rightarrow 1\ \ mg=.001\ \ g$

$873878\ \ mg=873878\times.001=873.878\ \ g$

So option $A$ is correct.

Convert $0.05$ kg into grams.

maths length, mass and capacity problems on measurement choosing and converting between units conversion between different units

  1. $0.5\ g$

  2. $5\ g$

  3. $50\ g$

  4. $500\ g$

Show answer
Correct Option: C
Explanation:

$1\ \ kg=1000\ \ g$

$0.05\ \ kg =0.05\times1000=50\ \ g$
So option $B$ is correct.

What is $1000$ milligrams in kg ?

maths length, mass and capacity problems on measurement choosing and converting between units conversion between different units

  1. $0.1$ kg

  2. $0.01$ kg

  3. $0.001$ kg

  4. $0.0001$ kg

Show answer
Correct Option: C
Explanation:

We know $1 $ g $=1000$ mg

$\Rightarrow 1 $ mg $=0.001 $ g
$\Rightarrow 1000$ mg $ =0.0001\times1000=1 $g
$1 $ kg $=1000 $ g
$\Rightarrow 1 $ g $=0.001 $ kg
Option C is correct.

Convert $0.04892$ kg into milligrams.

maths length, mass and capacity problems on measurement choosing and converting between units conversion between different units

  1. $48.92$ mg

  2. $48920$ mg

  3. $489.2$ mg

  4. $489200$ mg

Show answer
Correct Option: B
Explanation:

$1\ \ kg=1000\ \ grams$

$1\ \ gram =1000\ \ mg$
$\Rightarrow 1\ \ kg=100000\ \ mg$
$.04892\ \ kg=.04892\times100000=48920\ \ mg$
Option $B$ is correct.

$90000 \ \text{mg}=$ _____ $\text{kg}$.

maths length, mass and capacity problems on measurement choosing and converting between units conversion between different units

  1. $0.9$

  2. $0.09$

  3. $9$

  4. $90$

Show answer
Correct Option: B
Explanation:

$1 \ \text{ g} =1000\  \text{mg}$

$\Rightarrow 1 \  \text{mg}=.001 \ \text{ g}$
$\Rightarrow 90000 \ \text{mg}  =.0001\times90000=90 \ \text{ g}$
$1 \ \text{kg}=1000 \ \text{ g}$
$\Rightarrow 1 \ \text{g}=.001 \ \text{ kg}$
$\Rightarrow 90 \ \text{g} =90\times.001=.09 \ \text{ kg}$
Option B is correct

$89744\ mg=$ ______ $g$

maths length, mass and capacity problems on measurement choosing and converting between units conversion between different units

  1. $89744$

  2. $8974.4$

  3. $897.44$

  4. $89.744$

Show answer
Correct Option: D
Explanation:

$1\ \ g=1000\ \ mg$

$\Rightarrow 1\ \ mg=.001\ \ g$
$89744\ \ mg=89744\times.001=89.744 \ \ g$
So option $D$ is correct.

$5.8377\ kg=$ _______ $g$

maths length, mass and capacity problems on measurement choosing and converting between units conversion between different units

  1. $5837.7\ g$

  2. $583.77\ g$

  3. $58.377\ g$

  4. $58377\ g$

Show answer
Correct Option: A
Explanation:

$1\ \ kg=1000\ \ g$

$5.8377\ \ kg=5.8377\times1000=5837.7 \ \ g$
So option $A$ is correct.

Medicine is packed in boxes, each weighing $4$ kg $500$ g. How many such boxes can be loaded in a van which cannot carry beyond $800$ kg?

maths length, mass and capacity problems on measurement choosing and converting between units conversion between different units

  1. $177$

  2. $189$

  3. $175$

  4. $165$

Show answer
Correct Option: A
Explanation:
Weight of each box $ kg $500$ g $= 4.5$ kg
Capacity of van $= 800$ kg
$\therefore$ Number of boxes, the van can carry $=$ $\dfrac {800} {4.5}$ $= 177.77 = 177 $ {approax}

The weight of a $13$ m long iron rod is $23.4$ kg. The weight of $6$ m long of such rod will be _______.

maths length, mass and capacity problems on measurement choosing and converting between units conversion between different units

  1. $7.2$ kg

  2. $12.4$ kg

  3. $10.8$ kg

  4. $18$ kg

Show answer
Correct Option: C
Explanation:
Given that $13$ m weighs $23.4$ kg
So, $1$ m  will weigh $\dfrac {23.4}{13}$ kg
So, $6$ m weighs $\dfrac {23.4}{13}\times 6$ kg $=10.8$ kg
Option C is correct.

With the use of three different weights, namely, $1$ gms, $3$ gms, and $9$ gms, how many objects of different weights can be weighed, if the object has to be weighed and the given weights may be placed in either pan of the scale?

maths length, mass and capacity problems on measurement choosing and converting between units conversion between different units

  1. $15$

  2. $13$

  3. $11$

  4. $9$

  5. $7$

Show answer
Correct Option: B
Explanation:
Weights used No. of weighings possible
1. singly $3$
2. two at a time (Same pan) $3$
3. Three at a time (Same pan) $1$
4. two at a time (diff. pans) $3$
5. three at a time (diff. pans) $3$
Total $13$

Pugazhenthi ate $100\ g$ of nuts which is equal to $0.1\ kg$.

maths length, mass and capacity problems on measurement choosing and converting between units conversion between different units

  1. True

  2. False

Show answer
Correct Option: A

Meena bought $250\ ml$ of buttermilk which is equal to $2.5\ l$.

maths length, mass and capacity problems on measurement choosing and converting between units conversion between different units

  1. True

  2. False

Show answer
Correct Option: A

Gayathri bought $1\ kg$ of birthday cake. She shared $450\ g$ with her friends. The weight of cake remaining is $650\ g$.

maths length, mass and capacity problems on measurement choosing and converting between units conversion between different units

  1. True

  2. False

Show answer
Correct Option: A

Express $4.6$ liters in milliliters.

maths length, mass and capacity problems on measurement choosing and converting between units conversion between different units

  1. $460$

  2. $4600$

  3. $46000$

  4. $0.46$

Show answer
Correct Option: B
Explanation:

$1$ liter is equal to $1000$ milliliters
Therefore, $4.6$ liters is equal to 

$4.6$ liters $=\dfrac {46}{10}\times 1000$ milliliters
$=4600$ milliliters

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