Question

find the volume of this square pyramid. 9 m volume of a pyramid $v = \frac { 1 } { 3 } b h$ 4 m $v = \square m ^ { 3 }$

Explanation:

Step1: Calculate the base area \( B \)

The base is a square with side length \( 4\) m. The area of a square is \( B = s^2\), so \( B=4\times4 = 16\) \(m^{2}\).

Step2: Substitute \( B \) and \( h \) into the volume formula

The height \( h = 9\) m. Using the formula \( V=\frac{1}{3}Bh\), we substitute \( B = 16\) and \( h = 9\). Then \( V=\frac{1}{3}\times16\times9\).
First, calculate \( 16\times9=144\). Then \( V=\frac{144}{3}\).

Answer:

\(48\) \(m^{3}\)