Question

A packaging company makes package peanuts in two containers, rectangular prisms and cylinders. The rectangular prism has a length of 6 feet, a width of 3 feet, and a height of 5 feet. The cylinder of peanuts has a diameter of 7 feet and a height of 10 feet. How many rectangular prisms contain the same amount of peanuts as one cylinder container? Round your answer to the nearest tenth.

Answer 1

4.3

Explanation:

length = 6 feet

width = 3 feet

height = 5 feet

Volume of rectangular prism = length × width × height

= (6 × 3 × 5) feet

= 90 cubic feet

cylinder of peanuts has a diameter of 7 feet and a height of 10 feet

Volume of a cyclinder = πr^2h

π = 3.14

r = diameter / 2

= 7/2 = 3.5 feet

h =10 feet

Volume of a cyclinder = πr^2h

= 3.14 × (3.5)^3 × 10

= 3.14 × 12.25 × 10

= 384.65 cubic feet

How many rectangular prisms contain the same amount of peanuts as one cylinder container = volume of cylinder container / volume of rectangular prism container

= 384.65 / 90

= 4.274

To the nearest tenth = 4.3