Question

A rectangular pyramid fits exactly on top of a rectangular prism. The prism has a length of 16 cm, a width of 6 cm, and a height of 8 cm. The pyramid has a height of 14 cm. Find the volume of the composite space figure.

Answer 1

1,216 cm³

Explanation:

Volume (composite space figure) = Volume (pyramid) + volume (prism)

• ⇒ [16 x 6 x 14 / 3] + [16 x 6 x 8]
• ⇒ 96 [14/3 + 8]
• ⇒ 96 [14/3 + 24/3]
• ⇒ 96 x 38/3
• ⇒ 32 x 38
• ⇒ 1,216 cm³