The surface area of one dodecahedron is 9. A similar dodecahedron has a surface area of 16. What is the ratio of the volume of the first dodecahedron to the second?
I need a quick way to solve this, like for a math competition
The surface area of one dodecahedron is 9. A similar dodecahedron has a surface area of 16. What is the ratio of the volume of the first dodecahedron to the second?
I need a quick way to solve this, like for a math competition
You do not need such a formula. Instead, analyze the scaling; surface area grows with the square and volume with the cube.