# solid mensuration

posted by sara

the area of the total surface of a polyhedron weighing 64 lb. is 340 sq. in. what is the surface of a similar polyhedron made of the same material and weighing 1000 lb. ?

thank you!!

1. Steve

If the linear dimension scales by x,
surface scales by x^2
volume scales by x^3

so, since the weight(or volume) scaled by 1000/64 = (10/4)^3

the surface scales by (10/4)^2 = 6.25

6.25*340 = 2125

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