Question

find the volume of this square pyramid. volume of a pyramid $v = \frac{1}{3}bh$

Explanation:

Step1: Calculate the base area \( B \)

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

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

The height \( h = 6\) m. Using the formula \( V=\frac{1}{3}Bh\), we substitute \( B = 64\) and \( h = 6\). Then \( V=\frac{1}{3}\times64\times6\).
First, calculate \( 64\times6=384\). Then \( V=\frac{384}{3}\).

Step3: Simplify the fraction

\( V = 128\space m^{3}\).

Answer:

\(128\)