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Surface Area of Cube
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Example: The dimensions of a metallic cuboid are: 100 cm x 80 cm x 64 cm. It is melted and recast into a cube. Find the surface area of the cube.
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Solution: We have,
Volume of the metallic cuboid = 100 x 80 x 64 cm3 = 512000 cm3.
Since the metallic cuboid is melted and is recasted into a cube.
Volume of the metallic cuboid = Volume of the cube.
Let the length of each edge of the recasted cube be a cm. Then,
Volume of the cube = Volume of the cuboid
a3 = 512000
a3 = 83 x 103
a = 8x10 cm = 80 cm
Surface area of the cube = 6 a2 cm2 = 6 x (80)2 cm2 = 38400 cm2
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