Question

Solids A and B are similar. Use the given information and scale factor k from solid A to solid B to find the surface area of solid B.

Prism A has a surface area of 805 square feet and the and k=1/5

Answer 1

• 32.2 ft²

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We know that area is the product of two dimensions.

Hence we consider the square of the scale factor when comparing areas of similar figures.

The surface area of solid B is k² times the surface area of solid A:

• S(B) = k²S(A)

Substitute and calculate:

• S(B) = (1/5)²(805) = 805/25 = 32.2 ft²