Question

2. A right pentagonal pyramid has a volume of 165.17 cubic meters and a height of eight

meters. Complete the following statement.
The pentagonal pyramid has a base area of
how many square meters.

Answer 1

The base area of the pentagonal pyramid is 61.939 square meters.

Step-by-step explanation:

Given that: the volume of the pyramid = 165.17 cubic meters, its height = 8 meters.

The volume of a pyramid can be determined by:

volume of the pyramid =
`(1)/(3)` × base area × height

So that;

volume of the pyramid =
`(1)/(3)` × base area × height

165.17 =
`(1)/(3)` × base area × 8

165.17 × 3 = 8 × base area

495.51 = 8 × base area

∴ base area = 61.939 square meters

The base area of the pentagonal pyramid is 61.939 square meters.