Question

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

Answer 1

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Answer 2

Answer:

400

Step-by-step explanation:

Given, Diameter of coin = 1.75 cm.

Then, radius = 0.875 cm.

Thickness = 2 mm = 0.2 cm.

Given, Dimensions of cuboid = 5.5 * 10 * 3.5

                                                 = 192.5 cm³.

Volume of coin = πr²h

                          = (22/7) * (0.875)² * 0.2

                          = 0.48125.

Volume of cuboid = l * b * h

                              = 5.5 * 10 * 3.5

                              = 192.5

Therefore:

Number of coins = 192.5/0.48125

                            = 400.

Hope it helps!