The volumes of two similar rectangular prisms are 64 cm^3 and 1000 cm^3. The surface area of the smaller ...

figure is 112 cm^2. What is the surface area (in square cm) of the larger figure?

Explain too, if you would please. :)

The square root of the ratio of surface areas is equal to the cube root of the ratio of volumes
(A0/A1)^(1/2) = (V0/V1)^(1/3) = (64/1000)^(1/3) = 0.4
A0/A1 = (0.4)² = 0.16
A1 = 112/0.16 = 700

The surface area of the larger figure is 700 cm²

The linear scale factor between the smaller and larger prisms is 2.5.
The area scale factor between the smaller and larger prisms is 2.5² = 6.25
The volume scale factor between the smaller and larger prisms is 2.5³ = 15.625

Linear relationship = 4/10 = 2/5
Area relationship = 4/25
Larger one has area = 25/4 * 112 = 700 cm^2

lol how many times 64 goes into 1000? 15.6 times right? rounded to 16 lol
Well If 1 = 112 what would 16x112 = would is be around 1792^2 idk I make joke lol