Which package design will cost the company less to create and by approximately how much?
Volume of either package is 2.5 ft^3
Prism base x h = volume : 1x 2 x h = 2.5 ft^3
h = 2.5/2 = 1.25 ft
Surface area of prism (without a top) 2 x (1 x 1.25) + 2 x (2x 1.25) + 1 x 2 = 9.5 sq ft
Cylinder volume = base area x h : 2.5 x h = 2.5 h = 1
surface area (without a top) = base area + side base area/pi = r^2 so r = .892288 so diameter = 2r = 1.78458
2.5 + (1.78458 x 1) = 4.28 sq ft
It will take almost twice as much material to make the rectangular prism box as the cylinder container