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Conversion of length - class-V

Description: conversion of length
Number of Questions: 20
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Tags: tenths and hundredths maths decimals length measurement (length) fraction
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A train $280 m$ long, running with a speed of 63$\mathrm { km } /$ hr will pass a tree in 

maths measurement (length) conversion of length using decimals in units of length define weight and units of weight how much does it weigh?

  1. $15 sec$

  2. $16 sec$

  3. $18 sec$

  4. $20 sec$

Show answer
Correct Option: B
Explanation:

$Speed\>of\>train\>=\>63(\dfrac{Km}{hr})\\=(\dfrac{63\cdot100m}{3600s})\\=17.5(\dfrac{m}{s})\\By\>passing\>a\>tree,\>train\>will\>have\>to\>cross\>its\>own\>length\\\therefore\>Time\>taken\>=\>(\dfrac{280}{17.5})=16sec$

Convert the following :
$27$ km $241$ m $319$ mm into $m$

maths measurement (length) conversion of length using decimals in units of length define weight and units of weight how much does it weigh?
  1. $27241.319\ m$
  2. $27000.319\ m$
  3. $27219.241\ m$
  4. $27319.241\ m$
Show answer
Correct Option: A
Explanation:

We have,

$27\ km\ 241\ m\ 319\ mm$

We know that
$1\ km =1000\ m$
$1\ mm=10^{-3}\ m$

Therefore,

$\Rightarrow 27\times 10^3\ m+241\ m+ 319\times 10^{-3}\ m$

$\Rightarrow 27000\ m+241\ m+ 0.319\ m$

$\Rightarrow 27241.319\ m$

Hence, this is the answer.

$\displaystyle  \frac { 1 }{2 } of\ 20\ km = $ ............. m

maths measurement (length) conversion of length using decimals in units of length define weight and units of weight how much does it weigh?

  1. $1000$

  2. $10$

  3. $10,000$

  4. $100$

Show answer
Correct Option: C
Explanation:

$\displaystyle  \frac { 1 }{ 2 } of\quad 20\ km=10\ km = 10, 000\quad m$

Ankit is $160$ cm tall. What is his height in meters.

maths measurement (length) conversion of length using decimals in units of length define weight and units of weight how much does it weigh?

  1. $0.16$ meters

  2. $16.0$ meters

  3. $1.6$ meters

  4. $1$ meter

Show answer
Correct Option: C
Explanation:

we know that

   $1$ meter = $100$ cms
so $160/100$=$1.6$ meters
so Ankit is $1.6$ meters tall

The graphs of $2x+3y-6=0$, $4x-3y-6=0$, $x=2$ and $\displaystyle y=\frac{2}{3}$ intersect in __________.

maths measurement (length) conversion of length using decimals in units of length define weight and units of weight how much does it weigh?

  1. Four points

  2. One point

  3. In no points

  4. In infinite number of points

Show answer
Correct Option: B
Explanation:

On solving  2x+3y−6=02x+3y−6=0 and 4x−3y−6=04x−3y−6=0, we get

x=2x=2 and y=23y=23

Hence, from all the four given equations, the!li value of x is 2 and y is 2323

Therefore, the graphs of all the four lines intersect in one point.

A carpenter cuts off $1.3$ inches from a $4$-foot board. What is the new length of the board in inches?

maths measurement (length) conversion of length using decimals in units of length define weight and units of weight how much does it weigh?

  1. $2.7$ inches

  2. $46.7$ inches

  3. $49.3$ inches

  4. $58.7$ inches

Show answer
Correct Option: B
Explanation:

Of the two lengths given in the problem, one is inches and the other is in feet. The answer needs to be inches, so convert the length of the board to inches. Since there are $12$ inches in one foot, the 4-foot board is $48$ inches long. Now subtract the length of the piece the carpenter cut off.
$48-  1.3 = 46.7$
Therefore, the new length of the board is $46.7$ inches.

Convert the following measurement into $cm$
$3.44\ m$

maths measurement (length) conversion of length using decimals in units of length define weight and units of weight how much does it weigh?

  1. $3.44\ cm$

  2. $34.4\ cm$

  3. $344\ cm$

  4. $3440\ cm$

Show answer
Correct Option: C
Explanation:

We know that


$1$  $meter =100$  $cm$

$1$  $cm =\dfrac1{100}$  $m$

Given That , we have to convert $3.44$  $m$ into $cm$

$3.44$  $m =3.44 \times 100$  $cm$

                $=344$  $cm$

So, Option $C $ is correct 

Convert $1$ feet into meters.

maths measurement (length) conversion of length using decimals in units of length define weight and units of weight how much does it weigh?

  1. $0.30$ m

  2. $0.3048$ m

  3. $0.3059$ m

  4. $0.3067$ m

Show answer
Correct Option: B
Explanation:

$1$ Feet $=0.3048$ m

Convert the following into metres and centimetres.
$673\ cm$

maths measurement (length) conversion of length using decimals in units of length define weight and units of weight how much does it weigh?

  1. $6\ m$ $73\ cm$

  2. $67\ m$ $3\ cm$

  3. $673\ m$ $0\ cm$

  4. $73\ m$ $6\ cm$

Show answer
Correct Option: A
Explanation:

We know that


$1$  $meter =100$  $cm$

$1$  $cm =\dfrac1{100}$  $m$


$673$  $cm =\dfrac1{100} \times 673$  $m$

                $=\dfrac{673}{100}   $  $m$

                 $= 6.73  meter$

It is equivalent to $6$ $meters$ and $73$ $cms$
So, Option $A$ is correct

Find the value of  $x$?
$x\ meters = 118.1103\ inches$.

maths measurement (length) conversion of length using decimals in units of length define weight and units of weight how much does it weigh?

  1. $2$

  2. $3$

  3. $4$

  4. $3.5$

Show answer
Correct Option: B
Explanation:

$\because1 in =0.0254m$

$\therefore 118.1103 in=0.0254\times 118.11.3m=3m$

State whether the following statement is True or False.
$1$ mile is greater than $1$ km.

maths measurement (length) conversion of length using decimals in units of length define weight and units of weight how much does it weigh?

  1. True

  2. False

Show answer
Correct Option: A
Explanation:

We know, that $1 \ \text{mile} =1.61 \ \text{km}$

Therefore, $ 1 \ \text{mile}>1 \ \text{km}$
Hence, it is true.

State the following statement is True or False
$10$ m is equal to $32.8084$ foot

maths measurement (length) conversion of length using decimals in units of length define weight and units of weight how much does it weigh?

  1. True

  2. False

Show answer
Correct Option: A
Explanation:

$\because 1m=3.28084$ foot

$\therefore10m=32.8084$ foot

$10.5$ litres is equal to how many milliliters

maths measurement (length) conversion of length using decimals in units of length define weight and units of weight how much does it weigh?

  1. $10500$

  2. $10005$

  3. $10050$

  4. $15000$

Show answer
Correct Option: A
Explanation:

$10.5$ litres can be written as $10.5\times 1000=10500$ ml.

Thus option A is correct.

Expenditure incurred in cultivating a square field at the rate of Rs. $170$ per hectare is Rs. $680$. What would be the cost of fencing the field at the rate of Rs. $3$ per meter?

maths measurement (length) conversion of length using decimals in units of length define weight and units of weight how much does it weigh?

  1. Rs. $2400$

  2. Rs. $3600$

  3. Rs. $3000$

  4. Rs. $2000$

Show answer
Correct Option: A
Explanation:
Total cost of cultivation$=$Rs.$680$
Cost per hectare$=$Rs. $170$
$\therefore $Area of cultivation$=\cfrac { 680 }{ 170 } =4$ hectare$=4\times { 10 }^{ 4 }m^2$
Now, field's shape is square, therefore area $=side \times side$
$\Rightarrow 4\times { 10 }^{ 4 }={ (side) }^{ 2 }$
$\Rightarrow $ side$=\sqrt { 4\times { 10 }^{ 4 } } =200m$
Perimeter of field$=4\times 200=800m$
$\therefore $ Cost of fencing $800m=$ Rs.$\left( 3\times 800 \right) =$ Rs.$2400$

Choose the correct option:

$8$m $5$ cm = .......... cm

maths measurement (length) conversion of length using decimals in units of length define weight and units of weight how much does it weigh?

  1. $850$

  2. $8005$

  3. $8050$

  4. $805$

Show answer
Correct Option: D
Explanation:

$1m=100 cm$

$\Rightarrow 8m=800cm$
$\therefore 8m 5cm = 800+5=805 cm$

A person bought $32$L of water for the football game and he divided the water equally into $8$ cooler. Find the quantity of water in each of the coolers by converting it into millilitres.

maths measurement (length) conversion of length using decimals in units of length define weight and units of weight how much does it weigh?

  1. $40$ ml

  2. $400$ ml

  3. $4000$ ml

  4. $40000$ ml

Show answer
Correct Option: C
Explanation:
Quantity of water$=32ℓ=32000㎖$
Number of cooler$=8$
$\therefore $Quantity of water in each cooler$=\cfrac { 32000 }{ 8 } =4000㎖$

Rekha started her homework at $1:59$ pm point and finished her homework  $96$ minutes later. Rekha had volleyball practice at $4:00$ pm. How much time(in minutes) did Susan have between finishing her homework and the beginning of volleyball.

maths measurement (length) conversion of length using decimals in units of length define weight and units of weight how much does it weigh?

  1. $25$ m

  2. $205$ m

  3. $30$ m

  4. $35$ m

Show answer
Correct Option: A
Explanation:
Starting time of homework$=1.59pm$
Time taken$=96$ minutes $=1$ hour $36$ minutes
i.e., Home work complete by $3:35pm$
Time between finishing homework and beginning of
Volley ball$=4:00pm-3:35pm=25$ minutes.

Capacity of measuring flask is $1$ litre.What it will be in cubic centimeter $?$

maths measurement (length) conversion of length using decimals in units of length define weight and units of weight how much does it weigh?

  1. $1$ Cubic centimetre

  2. $10$ Cubic centimetre

  3. $100$ Cubic centimetre

  4. $1000$ Cubic centimetre

Show answer
Correct Option: D
Explanation:

$1000$ cubic centimetre
$1$ litre $=  1000 cm^3$

$\therefore$ The solution is $1000$ cubic centimetre.



State the following statement is True or False
$891$ cm can also be written as $89$ m $3$ cm

maths measurement (length) conversion of length using decimals in units of length define weight and units of weight how much does it weigh?

  1. True

  2. False

Show answer
Correct Option: B
Explanation:

$891$ cm $=890$ cm $+$ $1$ cm $=89$ m $1$ cm

Thus $891$ cm cannot be written as $89$ m $3$ cm.

How many meters are there in $1.25$ kilometers?

maths measurement (length) conversion of length using decimals in units of length define weight and units of weight how much does it weigh?

  1. $10.25$ m

  2. $125$ m

  3. $1250$ m

  4. $12500$ m

Show answer
Correct Option: C
Explanation:

We know that $1km=1000m$

Suppose $1.25km = x$
$\Rightarrow x={1.25}\times 1000$
$\Rightarrow x=1250$ m
Hence, the answer is $1250$ m.

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