Question

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

Answer 1

Answer:

8 feet

Step-by-step explanation:

The formula of a volume of a square pyramid:

$V=\dfrac{1}{3}s^2H$

s - base length

H - height

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

Substitute and solve for H:

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