Question

If the dimensions of a pentagonal prism are quadrupled, then the surface area of the prism is multiplied by eight.

True False

Answer 1

false

Explanation:

the relationship between lengths/dimensions and areas is that areas are created by multiplying 2 dimensions.

when you quadruple (×4) the dimensions, then the areas are growing with the square of the factor (×4×4 = ×16), because the factor goes twice into the multiplication : one time for every dimension involved.

so, quadrupling the dimensions would multiply the areas by 16.