Question

what is the volume of this triangular pyramid? 9 in 13 in 13 in cubic inches submit

Explanation:

Step1: Calculate the base area

The base is a square with side length \(13\) inches. The area of a square is \(A = s^2\), so \(A=13\times13 = 169\) square inches.

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 \(A = 169\) and \(h = 9\). Then \(V=\frac{1}{3}\times169\times9\).
First, calculate \(\frac{1}{3}\times9 = 3\). Then \(V=169\times3=507\).

Answer:

\(507\)