Question

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 1

600 square inches. 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.

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Answer 2

Answer:

150 inches^2

Step-by-step explanation:

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