Question

The volume of a rectangular prism is given to be 160 cu cm. Which of the following could be the dimensions of the prism?

• A. 2 cm, 4 cm, 5 cm
• B. 3 cm, 5 cm, 10 cm
• C. 2 cm, 5 cm, 8 cm
• D. 4 cm, 4 cm, 10 cm

Answer 1

The correct option is D 4 cm, 4 cm, 10 cm

Volume of a rectangular prism
= length $\times$ width $\times$ height

Given, volume = 160 cu cm.

$\therefore$ length $\times$ width $\times$ height
= 160 cu cm

Let us find the product of dimensions for each option to see which one equals 160 cu cm.

2 cm $\times$ 4 cm $\times$ 5 cm = 40 cu cm

2 cm $\times$ 5 cm $\times$ 8 cm = 80 cu cm

3 cm $\times$ 5 cm $\times$ 10 cm = 150 cu cm

4 cm $\times$ 4 cm $\times$ 10 cm = 160 cu cm

Thus, the possible dimensions of the prism is 4 cm, 4 cm, 10 cm as the volume in that case equals the given volume of 160 cu cm.