Question

a basin of a water fountain is cube shaped and has a volume of 91.125 cubic feet. solve ( s^3 = 91.125 ) to find the length ( s ) of one side of the basin. ( s = ) ___ ft

Explanation:

Step1: Recall the formula for the volume of a cube

The volume \( V \) of a cube with side length \( s \) is given by \( V = s^3 \). We are given \( V = 91.125 \) cubic feet, so we need to solve the equation \( s^3=91.125 \) for \( s \).

Step2: Take the cube root of both sides

To find \( s \), we take the cube root of both sides of the equation. The cube root of \( s^3 \) is \( s \), and we need to find the cube root of \( 91.125 \). We know that \( 4.5^3 = 4.5\times4.5\times4.5 \). First, \( 4.5\times4.5 = 20.25 \), then \( 20.25\times4.5 = 91.125 \). So, \( \sqrt[3]{91.125}=4.5 \).

Answer:

\( 4.5 \)