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Mathematics
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
Ok
6 years agoOpenStudy (kgrendel0324):
well you have 512cm^3 which the cube root of 512 is 8 and the cube root of 2197 is 13
6 years agoOpenStudy (kgrendel0324):
The ratio is \[(13/8)^2\]
6 years agozarkam21 (zarkam21):
So that is part 1
6 years ago
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OpenStudy (kgrendel0324):
Yeah
6 years agozarkam21 (zarkam21):
and then part 2
6 years agoOpenStudy (kgrendel0324):
2535/950
6 years agoOpenStudy (kgrendel0324):
2535cm^2/950cm^2
6 years agozarkam21 (zarkam21):
Okay
6 years ago
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zarkam21 (zarkam21):
How did you get that
6 years agoOpenStudy (kgrendel0324):
8²:13² = 960 64:169 = 960 960 = 64(15) A = 169(15) = 2535 cm²
6 years agozarkam21 (zarkam21):
This is for part 2?
6 years agoOpenStudy (kgrendel0324):
yeah
6 years agozarkam21 (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 agoOpenStudy (kgrendel0324):
Part three answer should be: 960 * (13/8)² = 2535
6 years agozarkam21 (zarkam21):
so that is part 3
6 years agozarkam21 (zarkam21):
@kgrendel0324
6 years agoOpenStudy (kgrendel0324):
Yes
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The ratio of the volumes of two cubes is 729: 1331 . The ratio of their total surface areas is
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