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