Question

question
a rectangular prism has a length of 13 feet, a height of 11 feet, and a width of 17 feet. what is its volume, in cubic feet?

Explanation:

Step1: Recall the volume formula

The volume \(V\) of a rectangular prism is \(V = l\times w\times h\), where \(l\) is length, \(w\) is width, and \(h\) is height.

Step2: Substitute the given values

Given \(l = 13\), \(w = 17\), \(h = 11\). Then \(V=13\times17\times11\).
First, calculate \(13\times17=(10 + 3)\times17=10\times17+3\times17 = 170+51=221\).
Then, \(V = 221\times11=(200 + 20+1)\times11=200\times11+20\times11 + 1\times11=2200+220 + 11=2431\).

Answer:

2431