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Activity Discussion Math Class-8 : Mensuration

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  • Faraz

    June 23, 2023 at 6:33 pm
    Not Helpful

    Given that the volume of the cube is 512 cubic cm, we can start by finding the length of one side of the cube.

    The formula for the volume of a cube is:

    Volume = side^3

    Since the volume is given as 512 cubic cm, we can set up the equation:

    512 = side^3

    To solve for the side length, we can take the cube root of both sides:

    ∛512 = ∛(side^3)

    8 = side

    Now that we have determined that the side length of the cube is 8 cm, we can find the area of one face, which is the area of a square with side length 8 cm.

    The formula for the area of a square is:

    Area = side^2

    Plugging in the side length of 8 cm, we have:

    Area = 8^2 = 64 square cm

    Therefore, the area of one face of the cube is 64 square cm.

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