Description
A cube has a surface area of 216 square cm. A second cube has edges that are 3 times as long. How much greater is the surface area of the second cube than the first cube?
Explanation & Answer
since the cube has six sides, each side has a surface area of 216 / 6 = 36 which means each edge is the square root of 36 which is 6cm
The second cube has edges 3 times as long which means 6x3 = 18 cm
That means each face has an area of 18^2 = 324
And the total surface area is 324x6 = 1944 square cm
1944 / 216 = 9 which means the second cube has a surface area NINE TIMES greater than the first.