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find the volume of the square pyramid. use the formula: v = bh ÷ 3 b = …

Question

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

Explanation:

Step1: Calculate the area of the square base

The formula for the area of a square is \( B = s^2 \), where \( s = 12\) ft. So, \( B=12\times12 = 144\) \(ft^{2}\).

Step2: Substitute into the volume formula

The volume formula for a square - pyramid is \( V=\frac{Bh}{3}\). Here, \( B = 144\) \(ft^{2}\) and \( h = 12\) ft. Then \( V=\frac{144\times12}{3}\).
First, calculate \(144\times12=1728\). Then, \(V=\frac{1728}{3}=576\) \(ft^{3}\).

Answer:

\(576\)