Question 235253: If the edge of a cube is tripled,what change takes place in the volume and in the surface area? Found 3 solutions by rfer, solver91311, stanbon:Answer by rfer(16322) (Show Source):
You can put this solution on YOUR website! 3^3=27
9^3=729
The volume increases by 27 times
3*3=9*6=54
9*9=81*6=486
The surface area increases by 9 times
Let represent the measure of one edge of a cube. The volume is then and the surface area is . If you triple the measure of the edges, then each edge would measure , so the volume would be which is 27 times larger than the original cube. The surface area of the larger cube would be which is 9 times larger than the original cube.
You can put this solution on YOUR website! If the edge of a cube is tripled,what change takes place in the volume and in the surface area?
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Volume Formula:
V = s^3
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After tripling the side:
V = (3s)^3 = 27s^3
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Surface Area
S = 6s^2
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After tripling the side:
S = 6(3s)^2 = 6*9s^2 = 54s^2
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Cheers
Stan H.
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