question in description

Question

Ade has two similar scale models of the same pyramid. The first model has a height of 5 inches and a surface area of 80.9 square inches. The linear dimensions of the second model are each increased by a common factor so that the height of the second model is 15 inches. To the nearest tenth of a square inch, what is the surface area of the second model?

Answer 1

Linear solutions can be used here:

5/80.9 = 15/x

5x = 15(80.9)

x = 242.7 sq. in.