Question

question 5
what is the volume of the square pyramid? round to the nearest tenth if
necessary.
use volume = \\( \frac { 1 } { 3 } b \cdot h \\) where b is the area of the base. use \\( a = l \cdot w \\) for the area
of the square base.

Explanation:

Step1: Calculate the area of the base

The base is a square with side length \(3\) inches. Using the formula \(A = l\times w\) (for a square \(l = w\)), we have \(B=3\times3 = 9\) square inches.

Step2: Calculate the volume of the pyramid

Use the volume formula \(V=\frac{1}{3}B\times h\). Substitute \(B = 9\) and \(h = 5\) into the formula: \(V=\frac{1}{3}\times9\times5\). First, \(\frac{1}{3}\times9 = 3\), then \(3\times5=15\) cubic inches.

Answer:

\(15\) cubic inches