Question

what is the volume, in cubic inches, of a rectangular prism with a height of 15 inches, a width of 12 inches, and a length of 8 inches?

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 \(l = 8\) inches, \(w = 12\) inches, \(h = 15\) inches. Then \(V=8\times12\times15\).
First, calculate \(8\times12 = 96\). Then \(V = 96\times15\).

Step3: Calculate the final product

\(96\times15=(100 - 4)\times15=100\times15-4\times15=1500 - 60 = 1440\)

Answer:

\(1440\)