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? 120 ft³ 240 ft³ 360 ft³ 720 ft³

Explanation:

Step1: Calculate base - area

The base of the square - pyramid is a square. The area of a square $A = s^2$, where $s = 6$ ft. 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 $A = 36$ ft² and $h = 20$ ft. Then $V=\frac{1}{3}\times36\times20$.

Step3: Compute the volume

$\frac{1}{3}\times36\times20=12\times20 = 240$ ft³.

Answer:

$240$ ft³