The ratio of the volumes of two cubes is 512 2197 what is the ratio of their total surface

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Mathematics

zarkam21 (zarkam21):

PLease help with this last three part question

6 years ago

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zarkam21 (zarkam21):

7. The volumes of two similar solids are 512 cm3 and 2,197 cm3. If the smaller solid has a surface area of 960 cm2, 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. (3 points) Part II: Use your answer from Part I to find the ratio of the surface areas. Show your work. (3 points) Part III: Set up a proportion and solve to find the surface area of the larger solid. (4 points)

6 years ago

OpenStudy (kgrendel0324):

Ok

6 years ago

OpenStudy (kgrendel0324):

well you have 512cm^3 which the cube root of 512 is 8 and the cube root of 2197 is 13

6 years ago

OpenStudy (kgrendel0324):

The ratio is \[(13/8)^2\]

6 years ago

zarkam21 (zarkam21):

So that is part 1

6 years ago

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OpenStudy (kgrendel0324):

Yeah

6 years ago

zarkam21 (zarkam21):

and then part 2

6 years ago

OpenStudy (kgrendel0324):

2535/950

6 years ago

OpenStudy (kgrendel0324):

2535cm^2/950cm^2

6 years ago

zarkam21 (zarkam21):

Okay

6 years ago

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zarkam21 (zarkam21):

How did you get that

6 years ago

OpenStudy (kgrendel0324):

8²:13² = 960 64:169 = 960 960 = 64(15) A = 169(15) = 2535 cm²

6 years ago

zarkam21 (zarkam21):

This is for part 2?

6 years ago

OpenStudy (kgrendel0324):

yeah

6 years ago

zarkam21 (zarkam21):

okay part 3

6 years ago

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OpenStudy (kgrendel0324):

dont add the 960 = 64(15) A = 169(15) = 2535 cm² to it though because that is part 3

6 years ago

OpenStudy (kgrendel0324):

Part three answer should be: 960 * (13/8)² = 2535

6 years ago

zarkam21 (zarkam21):

so that is part 3

6 years ago

zarkam21 (zarkam21):

@kgrendel0324

6 years ago

OpenStudy (kgrendel0324):

Yes

6 years ago

The ratio of the volumes of two cubes is 729: 1331 . The ratio of their total surface areas is

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