Question

question 4 (multiple - choice worth 4 points) the length of the base edge of a square pyramid is 3 ft, and the height of the pyramid is 20 ft. what is the volume of the pyramid? 60 ft³ 90 ft³ 180 ft³ 360 ft³

Explanation:

Step1: Calculate base - area

The base of the square - pyramid is a square. The area of a square is $A = s^2$, where $s$ is the side - length of the square. Given $s = 3$ ft, so $A=3^2=9$ $ft^2$.

Step2: Use volume formula

The volume formula of a pyramid is $V=\frac{1}{3}Ah$, where $A$ is the base - area and $h$ is the height. Given $A = 9$ $ft^2$ and $h = 20$ ft, then $V=\frac{1}{3}\times9\times20$.
$V = 60$ $ft^3$.

Answer:

$60$ $ft^3$