Question

what is the volume, in cubic centimeters, of a rectangular prism with a height of 18 centimeters, a width of 10 centimeters, and a length of 19 centimeters?

Explanation:

Step1: Recall the volume formula

The volume formula for 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 \(l = 19\), \(w = 10\), \(h=18\). Substitute into the formula: \(V=19\times10\times18\).
First, calculate \(19\times10 = 190\). Then, calculate \(190\times18=(200 - 10)\times18=200\times18-10\times18 = 3600-180=3420\).

Answer:

3420