Question

How many cuboid each of dimensions $2cm\times 3cm\times 1cm,$ are needed to make a cube of side $6cm$

• A. $24$
• B. $6$
• C. $12$
• D. $36$

Answer 1

The correct option is D $36$

Solution:- (D) 36

Given:-

side of cube $=6cm$

$\Rightarrow$ Volume of cube $={\left(side\right)}^3={\left(6\right)}^3=216{cm}^3$

Volume of cuboid $=2\times 3\times 1=6{cm}^3$

No. of cuboids needed to form such cubes $=\frac{\text{volume of cube}}{\text{volume of cuboid}}=\frac{216}{6}=36$

Hence, 36 cuboids will be needed to form a cube of 6cm.

Hence, the correct answer is 36.