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4 the rectangle below represents the base of a box shaped like a rectan…

Question

4 the rectangle below represents the base of a box shaped like a rectangular prism. the height of the box is 7.25 inches. what is the volume of the box in cubic inches?
6 in
4 in

Explanation:

Step1: Find the area of the base

The base is a rectangle with length \( l = 6 \) inches and width \( w = 4 \) inches. The area of a rectangle is \( A = l \times w \).
\( A = 6 \times 4 = 24 \) square inches.

Step2: Calculate the volume of the rectangular prism

The volume \( V \) of a rectangular prism is given by \( V = A \times h \), where \( h \) is the height. Here, \( h = 7.25 \) inches and \( A = 24 \) square inches.
\( V = 24 \times 7.25 \)
\( V = 174 \) cubic inches.

Answer:

The volume of the box is 174 cubic inches.