Question

Nexus made a cuboidial window with width 2 ft; he made a hole inside it, which has the same width but the other two dimensions are half of the window. Calculate the volume of the remaining window.

• A. 73 cubic feet
• B. 74 cubic feet
• C. 70 cubic feet
• D. 72 cubic feet

Answer 1

The correct option is D 72 cubic feet

To find the volume of the remaining window, we have to subtract the volume of the hole from the volume of the window.

Dimensions of the window:
8 ft $\times$ 6 ft $\times$ 2 ft

Its volume = 8 $\times$ 6 $\times$ 2 = 96 cubic feet

Dimesnions of the hole:
4 ft $\times$ 3 ft $\times$ 2 ft

Volume of the hole
= 4 $\times$ 3 $\times$ 2 = 24 cubic feet

Volume of the remaining window = 96 - 24 = 72 cubic feet