Question

(Repost because I only got bots last time and I really need help) I’m so lost and we didn’t talk about this at all in my class, please help

The volumes of two similar solids are 512cm^3 and 2,197cm^3. If the smaller solid has a surface area is 960cm^2, find the surface area of the larger solid.
PART I: find the similarity ratio by taking the cube root of each volume. Show your work.
PART II: Use your answer from Part I to find the ratio of the surface areas. Show your work.
PART III: Set up a proportion and solve to find the surface area of a larger solid.

Answer 1

2535 cm²

Explanation:

Part 1

Cube root the ratio to find the length factor as volume factor = length factor³

∛512 : ∛2197 = 8 : 13

Part 2

Square the ration as area factor = length factor²

8² : 13² = 64 : 169

Part 3

Apply the ratio

64 : 169

960 / 64 = 15

15 x 169 = 2535