Question

the volume of the box is 18 cubic centimeters. the box is 3 centimeters long and 3 centimeters tall. what is the width of the box, in centimeters? 6 2 3 12

Explanation:

Step1: Recall the volume formula for a rectangular box

The volume \( V \) of a rectangular box 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 known values into the formula

We know that \( V = 18 \) cubic centimeters, \( l = 3 \) centimeters, and \( h = 3 \) centimeters. Substituting these into the formula gives \( 18 = 3 \times w \times 3 \).

Step3: Simplify the right - hand side of the equation

First, calculate \( 3\times3 = 9 \), so the equation becomes \( 18 = 9\times w \).

Step4: Solve for \( w \)

To find \( w \), we divide both sides of the equation by 9. So \( w=\frac{18}{9}=2 \).

Answer:

2