Question

a square pyramid is shown, with dimensions in centimeters (cm).
what is the volume, in cubic centimeters, of the pyramid?
cubic centimeters

Explanation:

Step1: Calculate the base area

The base is a square with side length \(8\) cm. The area of a square \(A = s^2\), so \(A=8\times8 = 64\space cm^{2}\)

Step2: Use the pyramid volume formula

The volume formula for a pyramid is \(V=\frac{1}{3}Ah\), where \(A\) is the base area and \(h\) is the height. Here \(A = 64\space cm^{2}\) and \(h=9\space cm\)

Substitute into the formula: \(V=\frac{1}{3}\times64\times9\)

First calculate \(64\times9 = 576\), then \(V=\frac{576}{3}=192\space cm^{3}\)

Answer:

\(192\)