Question

Find the height of a square pier amid that has a volume of 32 ft.³ and a base length of 4 feet

answers
2 feet
4 feet
6 feet
8 feet

Answer 1

8 feet

Explanation:

The formula of a volume of a square pyramid:

`V=(1)/(3)s^2H`

s - base length

H - height

We have the volume V = 32 ft³ and the base length s = 4 ft.

Substitute and solve for H:

`(1)/(3)(4^2)H=32\qquad\text{multiply both sides by 3}\\\\3\!\!\!\!\diagup^1\cdot(1)/(3\!\!\!\!\diagup_1)(16)H=(3)(32)\\\\16H=96\qquad\text{divdie both sides by 16}\\\\H=(96)/(16)\\\\H=8\ ft`