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A cube with a volume of 64 cubic meters is scaled by a factor of 5. What is the volume of the modified cube in cubic meters?
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Mar 14, 2018
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A cube with a volume of 64 cubic meters is scaled by a factor of 5. What is the volume of the modified cube in cubic meters?
Mathematics
high-school
Niles Tanner
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Niles Tanner
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Answer:
V=8000 m^3
Explanation:
Jake Lin
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Mar 15, 2018
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Jake Lin
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Since the volume of a cube is s^3 and we are told V=64 we can say:
s^3=64
s=64^(1/3)
s=4
So if this cube is scaled by a factor of 5, it will have a side length of 5*4=20
And the volume would then be:
V=20^3
V=8000 m^3
Lucks
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Mar 20, 2018
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Lucks
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