Question

The volumes of two similar figures are given. The surface area of the smaller figure is given. Find the surface area of the larger figure.
V = 5 in3
V = 40 in3
S.A. = 4 in2

Answer 1

Volume is proportional to the cube of a linear dimension

Area is proportional to the square of a linear dimension

The ratio of the volumes is 40/5 or 8

That means the linear dimensions have the ratio of ∛8 or 2

That means the areas have the ratio of 2² or 4

So the area of the larger s 4 x 4 in² = 16 in²

Answer 2

thanks! how do you put the ratio of square root of 3 and 8 on the caculator? i dont know how

Answer 3

maybe its difficult to explain lol. but its okay. im glad i have the answer and work down to try thanks

Answer 4

You're welcome!! Xo!