Question

11.4 ap - 4
leo has a lock box with a volume of 312 cubic inches. the box is 4 inches high and 13 inches long. what is the width of the box?
□ inches

Explanation:

Step1: Recall volume formula for box

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

Step2: Rearrange for width

Solve for \( w \): \( w = \frac{V}{l \times h} \)

Step3: Substitute given values

Substitute \( V=312 \), \( l=13 \), \( h=4 \):
\( w = \frac{312}{13 \times 4} = \frac{312}{52} \)

Step4: Calculate the result

\( \frac{312}{52} = 6 \)

Answer:

6 inches