Question

find the volume of the square pyramid. volume formula: v = bh ÷ 3 b = area of the square base v = ? ft³

Explanation:

Step1: Calculate the area of the square base

The side length of the square base is \(3\) ft. The area formula for a square is \(B = s^2\), where \(s\) is the side - length. So \(B=3\times3 = 9\) \(ft^{2}\).

Step2: Substitute into the volume formula

The volume formula of a square pyramid is \(V=\frac{Bh}{3}\), where \(B = 9\) \(ft^{2}\) and \(h = 12\) ft. Substitute \(B\) and \(h\) into the formula: \(V=\frac{9\times12}{3}\).
First, calculate \(9\times12=108\). Then, \(\frac{108}{3}=36\).

Answer:

\(36\)