Question

follow the steps to find the volume of the square pyramid. use the formula: v = \frac{bh}{3}, b = area of the square base. begin by finding the area of the square base. b = ? ft² h = ft v = ft³ 15 ft 15 ft 8 ft

Explanation:

Step1: Calculate base - area

The base is a square with side length $s = 15$ ft. The area of a square is $B=s^2$. So, $B = 15\times15=225$ ft².

Step2: Identify height

The height of the pyramid $h = 8$ ft.

Step3: Calculate volume

Use the volume formula $V=\frac{Bh}{3}$. Substitute $B = 225$ ft² and $h = 8$ ft into the formula. $V=\frac{225\times8}{3}=\frac{1800}{3}=600$ ft³.

Answer:

$B = 225$ ft², $h = 8$ ft, $V = 600$ ft³