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How many coins 1.75 cm in diameter and 2 mm thick must be melted to form a cuboid 11 cm x 10 cm x 7  cm? 

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Very important question of mensuration including very important concept of it.

need solution!

Rd sharma class 10 maths exercise-16.1 mensuration.

we have to find number of coins of 1.75 cm in diameter and 2 mm thick which can be melted to form a cuboid 11 cm x 10 cm x 7 cm.

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1 Answer

  1. Given,

    Diameter of the coin = 1.75 cm

    So, its radius = 1.74/2 = 0.875 cm

    Thickness or the height = 2 mm = 0.2 cm

    We know that,

    Volume of the cylinder (V1) = πr2h

    = π 0.8752 × 0.2

    And, the volume of the cuboid (V2) = 11 × 10 × 7 cm3

    Let the number of coins needed to be melted be n.

    So, we have

    V2 = V1 × n

    11 × 10 × 7 = π 0.8752 × 0.2 x n

    11 × 10 × 7 = 22/7 x 0.8752 × 0.2 x n

    On solving we get, n = 1600

    Therefore, the number of coins required are 1600

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