· The volume of a box in the shape of a cube is 2197 cm3. Find the area of one side of the box.​

Question

· The volume of a box in the shape of a cube
is 2197 cm3. Find the area of one side of the box.​

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Lệ Thu 5 years 2021-07-27T11:56:11+00:00 1 Answers 661 views 2

Answers ( )

  1. Sigrid
    1
    2021-07-27T11:57:33+00:00
    Reply

    Answer:

    Let the side of the cube be x.

    Volume = length × width × height

    For a cube:

    Length = width = height

    Now volume = x × x × x = x³

    This equals 2197

    Therefore :

    X³ = 2197

    X = ∛2197

    = 13

    The side of the cube = 13cm

    Area = length × width

    Length = width = 13cm

    Area = 13 × 13 = 169

    = 169 cm²

    I hope this helps!

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