Question

find the volume of the square pyramid. volume formula: v = bh ÷ 3 b = area of the square base begin by finding the area of the square base. b = ? ft² h = ft v = ft³

Explanation:

Step1: Calculate the area of the square base

The formula for the area of a square is \(B = s\times s\), where \(s = 3\) ft. So \(B=3\times3\).

Step2: Identify the height of the pyramid

From the figure, the height \(h = 5\) ft.

Step3: Calculate the volume of the pyramid

Use the formula \(V=\frac{Bh}{3}\). Substitute \(B = 9\) \(ft^{2}\) and \(h = 5\) ft. Then \(V=\frac{9\times5}{3}\).

Answer:

\(B = 9\) \(ft^{2}\), \(h = 5\) ft, \(V = 15\) \(ft^{3}\)