Question

find the volume of the pyramid
6 ft
4 ft 4 ft
o a. 32 ft³
o b. 96 ft³
o c. 124 ft³
o d. 14 ft³

Explanation:

Step1: Find base - area

The base is a square with side length $s = 4$ ft. The area of a square $A_{base}=s^2$. So, $A_{base}=4^2 = 16$ square - ft.

Step2: Apply volume formula

The volume formula for a pyramid is $V=\frac{1}{3}A_{base}h$, where $h = 6$ ft. Substitute $A_{base}=16$ square - ft and $h = 6$ ft into the formula: $V=\frac{1}{3}\times16\times6$.

Step3: Calculate volume

$V=\frac{1}{3}\times16\times6=16\times2 = 32$ cubic - ft.

Answer:

A. $32$ ft³