Question

b. the height of a regular square pyramid is 8 m and the length of a side of the base is 9 m. what is the volume of the pyramid?

Explanation:

Step1: Find base - area

The base is a square with side length $a = 9$m. The area of a square $A_{base}=a^{2}$, so $A_{base}=9^{2}=81$m².

Step2: Calculate volume

The volume formula for a pyramid is $V=\frac{1}{3}A_{base}h$, where $h = 8$m. Substitute $A_{base}=81$m² and $h = 8$m into the formula: $V=\frac{1}{3}\times81\times8$. First, $\frac{1}{3}\times81 = 27$, then $27\times8=216$m³.

Answer:

216 m³