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    The ice compartment in a refrigerator is 36 cm deep, 16 cm high and 12 cm wide. How many ice cubes will it hold, if each cube is 4 cm as its edge?
    Question

    The ice compartment in a refrigerator is 36 cm deep, 16 cm high and 12 cm wide. How many ice cubes will it hold, if each cube is 4 cm as its edge?

    A.

    216

    B.

    54

    C.

    108

    D.

    27

    Correct option is C

    Given:

    Dimensions of ice compartment: 36 cm (length) × 16 cm (height) × 12 cm (width)

    Edge of each cube = 4 cm

    Formula Used:

    Volume of cuboid = l × b × h

    Volume of cube = a3

    Number of cubes = Volume of compartmentVolume of one cube\frac{\text{Volume of compartment}}{\text{Volume of one cube}}​​

    Solution:

    Volume of compartment = 36×16×12=6912 cm336 \times 16 \times 12 = 6912 \, \text{cm}^3​​

    Volume of one cube = 43=64 cm34^3 = 64 \, \text{cm}^3​​

    Number of cubes = 691264=108\frac{6912}{64} = 108​​

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