Question

a square pyramid has a height of 15 meters a base with 8 - meter side length. find it

Explanation:

Step1: Find the base - area

The base is a square with side length $a = 8$ meters. The area of a square is $A_{base}=a^{2}$. So, $A_{base}=8^{2}=64$ square - meters.

Step2: Use the volume formula for a square pyramid

The volume formula for a square pyramid is $V=\frac{1}{3}A_{base}h$, where $h = 15$ meters is the height of the pyramid. Substitute $A_{base}=64$ and $h = 15$ into the formula: $V=\frac{1}{3}\times64\times15$.

Step3: Calculate the volume

First, calculate $64\times15 = 960$. Then, $\frac{1}{3}\times960 = 320$ cubic meters.

Answer:

320 cubic meters