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    From a cuboid of dimension 10cm×5cm×2.5cm, small cubes of edge 2.5 cm are cut. How many small cubes are formed from the cuboid?
    Question

    From a cuboid of dimension 10cm×5cm×2.5cm, small cubes of edge 2.5 cm are cut. How many small cubes are formed from the cuboid?

    A.

    5

    B.

    8

    C.

    4

    D.

    7

    Correct option is B

    Given
    Dimensions of the cuboid = 10cm×5cm×2.5cm10 cm \times 5 cm \times 2.5 cm​​
    Edge length of the small cubes = 2.5 cm

    Formula Used
    Number of cubes = Volume of CuboidVolume of one Cube\frac{\text{Volume of Cuboid}}{\text{Volume of one Cube}}​​
    Volume of cuboid = Length×Breadth×HeightLength \times Breadth \times Height​​
    Volume of cube = Edge3Edge^3​​

    Solution
    Volume of the cuboid = 10×5×2.5=125cm310 \times 5 \times 2.5 = 125 cm^3​​
    Volume of one small cube = 2.5×2.5×2.5=15.625cm32.5 \times 2.5 \times 2.5 = 15.625 cm^3​​
    Number of cubes formed = 12515.625 \frac{125}{15.625}​​
    Number of cubes formed = 8

    Final Answer
    So the correct answer is (b)

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