Question

find the volume of the regular square pyramid. v = ? in³

Explanation:

Step1: Calculate the base area

The base is a square with side length \(a = 6\) in. The area of a square \(A=a^{2}\), so \(A = 6\times6=36\space in^{2}\)

Step2: Use the volume formula for a pyramid

The volume formula for a pyramid is \(V=\frac{1}{3}Ah\), where \(A\) is the base area and \(h\) is the height. Here \(A = 36\space in^{2}\) and \(h=10\space in\). Then \(V=\frac{1}{3}\times36\times10\)

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Answer:

\(120\)