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How many silver coins, 1.75 cm in diameter and of thickness 2 mm, must be melted to form a cuboid of dimensions 5.5 cm × 10 cm × 3.5 cm?

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NCERT Solutions for Class 10 Maths Chapter 13
Important NCERT Questions
Surface areas and Volumes,
NCERT Books for Session 2022-2023
CBSE Board and UP Board Others state Board
EXERCISE 13.3
Page No:251
Questions No:6

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2 Answers

  1. Radius of silver coin (r) = 1.75/2 = 0.875 cm, height of silver coin (h₁) = 0.2 cm
    Lenght of cuboid = 5.5 cm, breadth of cuboid = 10 cm Height of cuboid = 3.5 cm,
    Let the number of coins = n
    Therefore, n × volume of 1 silver coin = volume of cuboid
    ⇒ n(πr²h₁) = lbh ⇒ n × 22/7 × (0.875)² × 0.2 = 5.5 × 10 × 3.5
    ⇒ n = (5.5 × 10 × 3.5 × 7/0.875 × 0.875 × 0.2 × 22) ⇒ n = 400
    Hence, the number of coins is 400.

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  2. Get Hindi Medium and English Medium NCERT Solution for Class 10 Maths to download.
    Please follow the link to visit website for first and second term exams solutions.
    https://www.tiwariacademy.com/ncert-solutions/class-10/maths/chapter-13/

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