Question

the length of the base edge of a square pyramid is 6 ft, and the height of the pyramid is 20 ft. what is the volume of the pyramid? 720 ft³ 360 ft³ 240 ft³ 120 ft³

Explanation:

Step1: Calculate base - area

The base is a square with side length $a = 6$ ft. The area of a square $A=a^{2}$, so $A = 6^{2}=36$ ft².

Step2: Use volume formula

The volume formula for a pyramid is $V=\frac{1}{3}Ah$, where $A$ is the base - area and $h$ is the height. Given $h = 20$ ft and $A = 36$ ft², then $V=\frac{1}{3}\times36\times20$.
$V = 12\times20=240$ ft³.

Answer:

C. 240 ft³