Question

what is the volume of a square pyramid with a base length of 6 cm and a height of 9 cm? enter your answer in the box. cm³

Explanation:

Step1: Find the base area

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

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. Given \(A = 36\) \(cm^{2}\) and \(h = 9\) cm. Substitute into the formula: \(V=\frac{1}{3}\times36\times9\).
First, \(\frac{1}{3}\times36 = 12\), then \(12\times9=108\) \(cm^{3}\).

Answer:

\(108\)