Question

A triangular prism has a length of 12 inches. A larger similar triangular prism has a length of 16 inches.

If 216 square inches of paper is used to wrap the smaller prism with minimum wastage, approximately how many square inches of paper will be required to wrap the larger prism?

1152 square inches

384 square inches

864 square inches

512 square inches

Answer 1

the surface areas of the prisms are in the ratio 12^2 : 16^2
so 12^2 / 16^2 = 216 / x where x is area required to wrap larger prism