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    Question

    Rohan had a cuboidal box having dimensions of 36 cm ×

    25 cm × 20 cm. He packed into it as many cubes as possible, each of which has edges 4 cm long. How much space will be still left in the box?
    A 680 cm³ Correct Answer Incorrect Answer
    B 780 cm³ Correct Answer Incorrect Answer
    C 820 cm³ Correct Answer Incorrect Answer
    D 720 cm³ Correct Answer Incorrect Answer

    Solution

    Volume of the cuboidal = (36 × 25 × 20) cm³ Maximum volume of the cubes which can fit into the box.   (36 x 24 × 20) cm³ (24 cm because that is the max dimension of 4 cm that can cover for space of 25 cm) of the cube. Now, the space left (36 x 25 x 20) - (36 × 24 × 20) 18000-17280 = 720 cm3   720 cm³ space will be still left in the box.

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