Question

The dimensions of a rectangular prism are 2 cm, 3 cm, 4 cm. Identify the option that correctly represents the volume of the rectangular prism.

• A. 2 (2 cm $\times$ 3 cm + 3 cm $\times$ 4 cm + 2 cm $\times$ 4 cm)
• B. 2 cm + 3 cm + 4 cm
• C. 6 cm $\times$ 4 cm
• D. 2 cm $\times$ 3 cm + 6 cm

Answer 1

The correct option is C 6 cm $\times$ 4 cm

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

Thus, V = 2 cm $\times$ 3 cm $\times$ 4 cm
= 24 cu cm

But, length $\times$ width = area of the base

Thus, V = (length $\times$ width) $\times$ height
= base area $\times$ height
= (2 cm $\times$ 3 cm) $\times$ 4 cm
= 6 cm $\times$ 4 cm
(= 24 cu cm)

Thus, the correct answer is 6 cm $\times$ 4 cm.