Tag: units of length

Questions Related to units of length

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:

$\because1 in =0.0254m$

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