If the surface area of a cube is 486 cm2. Find its volume. Solut

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 Multiple Choice QuestionsShort Answer Type

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21. If the surface area of a cube is 486 cm2. Find its volume. Solution: A cube has 6 equal surfaces.


Let side of the cube be x.

∴ Area of a surface = x

rightwards double arrow  Area of the given cube = 6x2

∴     6x2 = 486

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rightwards double arrow            space space space straight x space equals square root of 81 space equals space 9

∴                x3   = 9 x 9 x 9 = 729 

Thus, the volume of the given cube = 729 cm

 

 

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