137k views
0 votes
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?

2 Answers

7 votes
height of the box will be 3 feet
User Adriana
by
6.3k points
4 votes

Answer:

3 ft

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)ยท(4/27) ft = 3 ft

The height of the box is 3 feet.

User Hooman Ahmadi
by
5.8k points