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Aarushi Aadish Kunda
Asked: 2022-11-11T16:24:37+05:30 In:

Three metallic cubes whose sides are 15 cm, 20 cm and 25 cm respectively are melted and converted into a single cube. If there is no loss of metal in this process, then what is the length of the side of the new cube?
1. 30 cm
2. 28 cm
3. 32 cm
4. 24 cm

Three metallic cubes whose sides are 15 cm, 20 cm and 25 cm respectively are melted and converted into a single cube. If there is no loss of metal in this process, then what is the length of the side of the new cube?
1. 30 cm
2. 28 cm
3. 32 cm
4. 24 cm
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1 Answer

  1. Correct Answer – Option 1 : 30 cm

    Given:

    The sides of three cubes = 15 cm, 20 cm, and 25 cm respectively

    Concept:

    When the number of solids reshapes in on solid then the volume of the solid is the same

    Formula used:

    The volume of the cube = a3

    (Where a = The side of the cube)

    Calculation:

    Let us assume the side of the single cube be X

    ⇒ The volume of the first cube = 153 = 3375 cm3

    ⇒ The volume of the second cube = 203 = 8000 cm3

    ⇒ The volume of the third cube = 253 = 15625 cm3

    ⇒ The total volume of all three cubes = The volume of the reshaped single cube

    ⇒ X3 = 3375 + 8000 + 15625

    ⇒ X3 = 27000

    ⇒ X = ∛27000 = 30 cm

    ∴ The required result will be 30 cm.

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