Question

the base of a square pyramid has side lengths of 8 meters. the height of the pyramid is 12 meters. what is the volume of the pyramid? 768 m³ 384 m³ 256 m³ 192 m³

Explanation:

Step1: Calculate base - area

The base is a square with side length $s = 8$ m. The area of the base $B=s^{2}$, so $B = 8^{2}=64$ m$^{2}$.

Step2: Use volume formula

The volume formula for a pyramid is $V=\frac{1}{3}Bh$, where $B$ is the base - area and $h$ is the height. Given $h = 12$ m and $B = 64$ m$^{2}$, then $V=\frac{1}{3}\times64\times12$.
$V = 64\times4=256$ m$^{3}$.

Answer:

$256$ m$^{3}$