Stephanie built a box to hold sports equipment. The box is in the shape of a rectangular prism. The

volume is 20 1/4 ft3, and the area of the base is 6 3/4 ft2. What is the height of the box?

3 ft

Step-by-step explanation:

The volume of the box is given by the formula ...

V = Bh

where B is the base area and h is the height. Solving for h, we get ...

h = V/B

Filling in the numbers gives us the height:

h = (20 1/4 ft^3) / (6 3/4 ft^2) = (81/4) · (4/27) ft = 3 ft

The height of the box is 3 feet.

Height of the box will be 3 feet