Question

a decorative glass structure is shaped like a square pyramid. each side of the square base measures 5.2 meters, and the height of the pyramid is 9 meters. what is the total volume of the glass structure? round your answer to the nearest tenth.
use the keypad to type your answer in the box provided.
the volume of the glass structure is □cubic meters.

Explanation:

Step1: Calculate the area of the square base

The area of a square \(A = s^{2}\), where \(s = 5.2\) meters. So \(A=(5.2)^{2}=5.2\times5.2 = 27.04\) square meters.

Step2: Use the volume formula for a pyramid

The volume formula for a pyramid is \(V=\frac{1}{3}Ah\), where \(A\) is the base area and \(h\) is the height. Here \(A = 27.04\) square meters and \(h=9\) meters. Then \(V=\frac{1}{3}\times27.04\times9\).
First, \(\frac{1}{3}\times9 = 3\). So \(V=27.04\times3=81.12\) cubic meters.

Answer:

\(81.1\)