Question

    A solid rectangular block with dimensions 60 cm × 40 cm

    × 20 cm is melted down, and identical smaller rectangular blocks, each with a volume of 80 cm³, are made from this molten block without any wastage. How many such small blocks can be obtained?
    A 450 Correct Answer Incorrect Answer
    B 400 Correct Answer Incorrect Answer
    C 600 Correct Answer Incorrect Answer
    D 550 Correct Answer Incorrect Answer

    Solution

    Volume of large blocks =lbh =60×40×20 =4800cm3 The volume of each small block is given as 80 cm³. To find the number of such small blocks, divide the volume of the large block by the volume of one small block:   Number of small blocks = Volume of large block/ Volume of one small block =48,000 /80   = 600

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