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Mensuration Test - 3

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Mensuration Test - 3
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  • Question 1
    1 / -0
    Three cubes whose edges are 3 cm, 4 cm and 5 cm respectively are melted without any loss of metal into a single cube. The edge of the new cube is ______.
    Solution

    Let V1, V2 and V3 be the volumes of the three cubes.
    Then,
    V1=(3)3=27cm3, V =(4)3 = 64cm3 and V3 = (5)3 = 125cm3
    ∴ Total volume = 27 + 64 + 125 = 216 cm3
    Now, volume of new cube = 216 cm3
    ∴ Its edge = ∛216 = 6 cm

  • Question 2
    1 / -0

    The volume of a cuboid is 440 cm3 and the area of its base is 88 cm2. Find its height.

    Solution

    Volume of cuboid = 440cm3
    Area of its base i.e., i×b = 88cm2
    As,
    l×b×h = 440
    ⇒ 88×h = 440
    ⇒ h = 440/88 = 5cm

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