Question

Ace Tennis Balls manufacturer sells tennis balls in cylindrical cans. Each can has a diameter of 3.5 inches and a height of 8.9 inches

The manufacturer has a choice of two boxes to use for shipping the cans of tennis balls. The boxes cost the same.

- Box A has a length of 14.5 inches, a width of 11 inches, and a height of 12.5 inches

- Box B has a length of 14.5 inches, a width of 14.5 inches, and a height of 9.5 inches

The cans are first packed standing on their bases. If there is room, an additional layer may be placed on top where cans lay on their sides.

Which box holds more cans? Explain your answer showing the calculations you used to make your decision.

Thank you for the help

Answer 1

height of box A = 12.5
can is 8.9 high
12.5 - 8.9 = 3.6 JUST fits can on its side above , betting on this one :)
14.5 /3.5 = 4.14
11/3.5 = 3.14
so 12 cans in bottom layer
top layer
14.5/3.5 = 4.14 so 4 more on top
total of 16 cans i A
Now do B the same way