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What will happen to the total surface area and the volume of a cube if its each side is halved?
Wiki User
∙ 13y ago
Surface Area: The area of one side is s2, where s is the length of 1 edge of the cube. So the total area is 6s2. If the edge length is half, the new cube area is 6(s/2)2 = 6s2/4, So the new surface area is the original area divided by 4.
The volume of the cube is s3. If the edge length is half, the new cube volume is (s/2)3. = (s)3/8. So the new volume is the original volume divided by 8.
Wiki User
∙ 13y ago
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What is the volume of the total surface area of a cube is 864 cm sq?
Total surface area = 864 cm2Area of each face = 1/6 of that = 144 cm2Length of the side of the cube = sqrt(144) = 12 cmVolume = 123 = 1,728 cm3
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