A packaging company makes package peanuts in two containers, rectangular prisms and cylinders. The rectangular prism has a lengt
h 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.
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
