Question

A metal parallelopiped of measures 16 cm × 11cm × 10cm was melted to make coins. How many coins were made if the thickness and diameter of each coin was 2 mm and 2 cm respectively?

Answer 1

Given: For the parallelopiped., 

length (l) = 16 cm,  

breadth (b) = 11 cm, 

height (h) = 10 cm 

For the cylindrical coin, 

thickness (H) = 2 mm, 

diameter (D) 2 cm 

To find: Number of coins made. 

 Volume of parallelopiped = l × b × h 

= 16 × 11 × 10 

= 1760 cm³ 

Thickness of coin (H) = 2 mm 

= 0.2 cm …[∵ 1 cm = 10 mm] 

Diameter of coin (D) = 2 cm

∴ 2800 coins were made by melting the parallelopiped.