Question

A pool in the shape of a rectangle prism is being filled with water. The length and width is 24 feet and 15 feet. If the hight of the pool is 1 1/3 feet, what is the volume of the water in cubic inches

Answer 1

Check the picture below.

`\textit{volume of a rectangular prism}\\\\ V=Lwh~~ \begin{cases} L=length\\ w=width\\ h=height\\[-0.5em] \hrulefill\\ L=24\\ w=15\\ h=1(1)/(3) \end{cases}\implies V=(24)(15)(1(1)/(3))\implies \stackrel{in~ft^3}{V}=(24)(15)((4)/(3)) \\\\\\ \stackrel{\textit{converting all feet to inches}}{\stackrel{in~in^3}{V}=(24\cdot 12)(15\cdot 12)((4)/(3)\cdot 12)}\implies V=(288)(180)(16)\implies V=\stackrel{in^3}{829440}`