163k views
4 votes
A shower stall is in the shape of a rectangular prism. The area of the base of the shower is 2.5 square yards. The volume of the shower is 7.5 cubic yards.

What is the height of the shower in yards?

A. 5yd
B. 10yd
C. 6yd
D. 3yd​

User Kevin Obee
by
8.6k points

1 Answer

4 votes

Answer:

3 yards or option D.

Explanation:

We can use the formula for the volume of a rectangular prism, which is:

Volume = length x width x height

We are given that the volume of the shower is 7.5 cubic yards, and the area of the base is 2.5 square yards. We can use the area of the base to find the length and width of the shower, since the base is a rectangle.

Area of base = length x width

2.5 = length x width

We are not given the length or width, but we can solve for one of them in terms of the other:

length = 2.5/width

Now we can substitute this expression for length into the formula for volume:

Volume = length x width x height

7.5 = (2.5/width) x width x height

Simplifying, we can cancel out the width terms:

7.5 = 2.5 x height

Dividing both sides by 2.5, we get:

3 = height

User Dckuehn
by
8.0k points