Question

1. a rectangular prism has a length of 6 inches, width of 4 inches, and height of 3 inches. what is its volume?

a. ( 72 mathrm{in}^{3} )
b. ( 54 mathrm{in}^{3} )
c. ( 48 mathrm{in}^{3} )
d. ( 60 mathrm{in}^{3} )

Explanation:

Step1: Recall the volume formula for a rectangular prism

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

Step2: Substitute the given values into the formula

Here, \(l = 6\) inches, \(w = 4\) inches, and \(h = 3\) inches. So, \(V=6\times4\times3\).
First, calculate \(6\times4 = 24\). Then, \(24\times3=72\).

Answer:

A. \(72\mathrm{in}^{3}\)