# From the following options $1000mL$ is equal to:

$

{\text{a}}{\text{. }}1c{m^3} \\

{\text{b}}{\text{. }}10c{m^3} \\

{\text{c}}{\text{. }}100c{m^3} \\

{\text{d}}{\text{. }}1000c{m^3} \\

$

Last updated date: 21st Mar 2023

•

Total views: 309.3k

•

Views today: 3.88k

Answer

Verified

309.3k+ views

Hint: - Use$1{m^3} = 1000L$.

We know that, $1{m^3} = 1000L.........\left( 1 \right)$

Also $1m = 100cm...............\left( 2 \right)$ and $1L = 1000mL$

So, given problem statement is $1000mL$

$\therefore 1000mL = 1L............\left( 3 \right)$

From equation 1

$1L = \dfrac{1}{{1000}}{m^3}$

So, from equation 3

$1000mL = 1L = \dfrac{1}{{1000}}{m^3}..........\left( 4 \right)$

Now from equation (2) and (4)

$1000mL = 1L = \dfrac{1}{{1000}}{m^3} = \dfrac{1}{{1000}}{\left( {100cm} \right)^3}$

$1000mL = \dfrac{{{{10}^6}}}{{1000}}c{m^3} = 1000c{m^3}$

Hence, option (d) is correct.

Note: - In such types of questions always remember the conversions of S.I units i.e. mL to L, L to cubic meter and meter to centimeter, all are stated above, then after simplification we will get the required answer.

We know that, $1{m^3} = 1000L.........\left( 1 \right)$

Also $1m = 100cm...............\left( 2 \right)$ and $1L = 1000mL$

So, given problem statement is $1000mL$

$\therefore 1000mL = 1L............\left( 3 \right)$

From equation 1

$1L = \dfrac{1}{{1000}}{m^3}$

So, from equation 3

$1000mL = 1L = \dfrac{1}{{1000}}{m^3}..........\left( 4 \right)$

Now from equation (2) and (4)

$1000mL = 1L = \dfrac{1}{{1000}}{m^3} = \dfrac{1}{{1000}}{\left( {100cm} \right)^3}$

$1000mL = \dfrac{{{{10}^6}}}{{1000}}c{m^3} = 1000c{m^3}$

Hence, option (d) is correct.

Note: - In such types of questions always remember the conversions of S.I units i.e. mL to L, L to cubic meter and meter to centimeter, all are stated above, then after simplification we will get the required answer.

Recently Updated Pages

If abc are pthqth and rth terms of a GP then left fraccb class 11 maths JEE_Main

If the pthqth and rth term of a GP are abc respectively class 11 maths JEE_Main

If abcdare any four consecutive coefficients of any class 11 maths JEE_Main

If A1A2 are the two AMs between two numbers a and b class 11 maths JEE_Main

If pthqthrth and sth terms of an AP be in GP then p class 11 maths JEE_Main

One root of the equation cos x x + frac12 0 lies in class 11 maths JEE_Main

Trending doubts

What was the capital of Kanishka A Mathura B Purushapura class 7 social studies CBSE

Difference Between Plant Cell and Animal Cell

Write an application to the principal requesting five class 10 english CBSE

Ray optics is valid when characteristic dimensions class 12 physics CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

Tropic of Cancer passes through how many states? Name them.

Write the 6 fundamental rights of India and explain in detail

Write a letter to the principal requesting him to grant class 10 english CBSE

Name the Largest and the Smallest Cell in the Human Body ?