SOLUTION: The surface area of a certain cube is
600 square inches.
What is the new surface area of the cube if
the length of each edge is reduced by half
Algebra.Com
Question 863452: The surface area of a certain cube is
600 square inches.
What is the new surface area of the cube if
the length of each edge is reduced by half
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
SA = 6s^2
600 = 6s^2
600/6 = s^2
100 = s^2
s^2 = 100
s = sqrt(100)
s = 10
So the old cube has side lengths of 10 inches. Now reduce each edge by half to get 10*(1/2) = 5. The new cube has side lengths of 5 inches.
Now compute the surface area of the smaller cube.
SA = 6s^2
SA = 6*5^2
SA = 6*25
SA = 150
The new surface area is 150 square inches. Notice how this is 1/4 of the original surface area and how 1/4 = (1/2)^2
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