Question

The area of one surface of a cube is 64sq. m, let us calculate the volume of the cube​

Answer 1

Given that,

Area of one side of cube = 64 cm^2

since, side of a cube is square.

Area of square = 64 cm^2

${(side)}^{2} \: = 64 \: {cm}^{2} \\ side \: = \sqrt{ {64cm}^{2} } \\ side \: = \sqrt{ {(8cm)}^{2} } \\ side \: = 8 \: cm \\ volume \: of \: cube \: = {(side)}^{3} = {(8cm)}^{3} = {512 \: cm}^{3} = {512 \: cm}^{3}$

Therefore, volume of cube is 512 cm^3.

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