SOLUTION: The surface area of this cube is 96 square centimeters. What is the value of a

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Question 955534: The surface area of this cube is 96 square centimeters. What is the value of a
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
a=edge of cube; A=surface area of cube
Each face of a cube has area=a%5E2 and there are 6 faces,
so total surface area=6a%5E2
A=6a%5E2 Divide each side by 6.
A%2F6=a%5E2 Find square root of each side.
sqrt%28A%2F6%29=a
sqrt%2896cm%5E2%2F6%29=a
sqrt%2816cm%5E2%29=a
4cm=a ANSWER: The edge of the cube (a) is 4 centimeters.