Question

how many solid coins of diameter 6 cm and thickness 0.2 CM can be made by making a solid metal cuboid of length 33 CM breadth 18 cm and height 18 how

Answer 1

QUESTION:

How many solid coins of diameter 6 cm and thickness 0.2 cm can be made from a solid metal cuboid of length 33 cm breadth 18 cm and height 18 cm?

SOLUTION:

Assume we will melt the metal cuboid to make into coins. (Instead of cutting the coins from the solid cuboid)

Find the radius of the coin:

Radius = Diameter ÷ 2

Radius = 6 ÷ 2 = 3 cm

Find the volume of a coin:

Volume of the coin = πr²h

Volume of the coin = π(3)²(0.2) = 198/35 cm³

Find the volume of the cuboid:

Volume of the cuboid = Length x Breadth x Height

Volume of the cuboid = 22 x 18 x 18 = 10692 cm³

Find the number of coins can be made from the cuboid:

Number of coins = 10692 ÷ 198/35

Number of coins = 1890

Answer: We can make 1890 coins