SOLUTION: Please help me solve this equation:
If the surface area of a cube is increased by a factor of 64, what is the change in the length if the sides of the cube?
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If the surface area of a cube is increased by a factor of 64, what is the change in the length if the sides of the cube?
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Question 442797: Please help me solve this equation:
If the surface area of a cube is increased by a factor of 64, what is the change in the length if the sides of the cube? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! If the surface area of a cube is increased by a factor of 64,
what is the change in the length if the sides of the cube?
:
Let 6x^2 = surface area of original cube
Let 6y^2 = surface area of larger cube
:
6y^2 = 64(6x^2)
divide both sides by 6
y^2 = 64x^2
Find the square root of both sides
y = 8x
:
We can say the new cube side is 8 times the original cube side
