Question

Find the volume, in cubic feet, of the composite solid below, which consists of a pyramid sitting on top of a cube. The pyramid has the same base as the cube.

Answer 1

2,112 ft³

Explanation:

Volume of composite solid = volume of pyramid + volume of cube

✔️Volume of square pyramid = ⅓(a²)*h

Where,

a = 12 ft

h = 8 ft

Plug in the values

Volume of pyramid = ⅓(12²)*8 = 384 ft³

✔️Volume of cube = a³

Where,

a = 12 ft

Plug in the value

Volume of cube = 1728 ft³

✔️Volume of composite solid = 384 + 1728 = 2,112 ft³