Question
The volume of a cube is given as
8Ă—(x+3)3 m3. The length of a rectangle is twice the side length of the cube, and its breadth is 20m. The area of the rectangle is 560 m2. Calculate the surface area of the cube if the side length of the cube is 'x' m.Solution
ATQ, Side of the cube = (8 Ă— (x + 3)3)1/3 = 2 Ă— (x + 3) = 2x + 6 Length of the rectangle = 2 Ă— (2x + 6) m 2 Ă— (2x + 6) Ă— 20 = 560 2x + 6 = 14 2x = 8 x = 4 m Surface Area of the cube = 6 Ă— 4 = 96 m2
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