Question

what is the volume of this rectangular pyramid? 20 in 15 in 15 in cubic inches

Explanation:

Step1: Calculate the base area

The base is a square with side length \(15\) in. The area of a square is \(A = s^2\), so \(A=15\times15 = 225\) square inches.

Step2: Use the volume formula for a pyramid

The volume formula for a pyramid is \(V=\frac{1}{3}Bh\), where \(B\) is the base area and \(h\) is the height. Here, \(B = 225\) square inches and \(h = 20\) inches. Then \(V=\frac{1}{3}\times225\times20\).
First, \(\frac{1}{3}\times225 = 75\), then \(75\times20=1500\).

Answer:

\(1500\)