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Activity Discussion Math Class-8 : Mensuration

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  • Class-8 : Mensuration

    Posted by Rahul on June 23, 2023 at 6:03 pm

    There is a cube of volume 512 cubic cm. Find the area of its one face.

    Faraz replied 1 year ago 2 Members · 1 Reply
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  • Faraz

    Member
    June 23, 2023 at 6:33 pm
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    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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