Question

A cuboid-shaped box has dimensions 4 m×3 m×2 m.Match the no. of boxes of given volume that can fit in the box.

• A. 120
• B. 80
• C. 60
• D. 40

Answer 1

Dimensions of the store room = $4m\times 3m\times 2m$
$\Rightarrow$ Volume of store room = $4\times 3\times 2$
= $24m^3$
Number of boxes that can fit in the bigger box is given by,
$\frac{Volumeofthebiggerbox}{Volumeofsmallerbox}$
If the volume of the smaller box is $0.2m^3$, then the number of boxes that can fit in the bigger box is $\frac{24}{0.2}=120.$
Similarly, if the volume of the smaller box is $0.3m^3$, then the number of boxes that can fit in the bigger box is $\frac{24}{0.3}=80$.
Now, if the volume of the smaller box is $0.4m^3$, then the number of boxes that can fit in the bigger box is $\frac{24}{0.4}=60$.
And, if the volume of the smaller box is $0.6m^3$, then the number of boxes that can fit in the bigger box is $\frac{24}{0.6}=40$.