Question

A bale of hay in the shape of a rectangular prism has a length of 4 feet, a width of 2 feet, and a height of 2 feet. A cylindrical bale of hay has a diameter of 5 feet and a height of 6 feet. How many rectangular bales contain the same amount of hay as one cylindrical bale? Round your answer to the nearest tenth.

Answer 1

Answer:
7.6 rectangular prisms

Explanation:
1- getting volume of rectangular prism:
volume of rectangular prism = length * width * height
volume of rectangular prism = 4 * 2 * 2 = 16 ft³

2- getting the volume of the cylinder:
volume of cylinder = π * r² * h
volume of cylinder = π * (2.5)² * 6 = 117.75 ft³

3- Now we want to know how many rectangle prisms are required to hold the exact amount of hale as the cylinder.
This means that we want the volume of hale to be equal in the two situations.
Assume the number of prisms required is x
x * volume of prism = volume of cylinder
x * 16 = 117.75
x = 7.35 which is approximately 7.6 rectangular prisms

Hope this helps :)