The surface area of a rectangular prism is increased by a factor of 16.By what factor is the volume of the figure increased?

For similar rectangular prisms, surface area scales with the square of the linear scale factor. A surface-area increase by 16 means the dimensions are scaled by √16 = 4. Volume scales by the cube of that factor, so it increases by 4³ = 64; the correct choice is 64.

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