The volumes of two mathematically similar solids are in the ratio 27:125
The surface area of the smaller solid is 36cm2.
Work out the surface area of the larger solid.
+33616 Volume scales as length cubed, surface area scales as length squared, so the length scaling here is the cube root of (125/27), which is 5/3 (as (5/3)3 = 125/27). so area scales as (5/3)2 = 25/9. Therefore the surface area of the larger solid is 36*25/9 = 100cm2
