Volume and surface area???

Question

a company that manufactures and ships canned vegetables is designing boxes in the shape of rectangular prisms to meet specific requirements. The vegetables are packed into cans that are 3 inches in diameter and 5 inches in height. Company regulations state that boxes must be filled in with two layers of 12 cans each, and be completely closed with no overlapping material. What is the smallest amount of cardboard needed to meet the company's requirements?

Answer 1

the box must be 3x12 = 36 inches long

 

the box must be 5 inches high

 

the box must be 3x2 = 6 inches wide

 

the surface area is 2 x  36x5 + 2 x 5 x 6 + 2 x 6 x 36 

                          = 360 + 60 + 432 

                           = 852 square inches