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 \(a = 10\) in. The area of a square \(A=a^{2}\), so \(A = 10\times10=100\) \(in^{2}\).

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 \(A = 100\) \(in^{2}\) and \(h=18\) in.
Substitute the values into the formula: \(V=\frac{1}{3}\times100\times18\).
First, calculate \(100\times18 = 1800\). Then, \(\frac{1}{3}\times1800=600\).

Answer:

\(600\)