Question

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

Answer 1

Step-by-step explanation:

Let's find the volume of 1 silver coin when melted.

So volume = π r² h

= (22/7) x (1.75/2)² x (2/10)

As 2 mm = 0.2 cm

I.e.

$\frac{22 \times 1.75 \times 2}{7 \times 2 \times 10}$

Now volume of cuboid

= Length x Breadth x height

= 5.5 cm x 10 cm x 3.5 cm

= 192.5 cm³

Now let's assume (a) no. of cubes must be melted

Therefore

$\frac{22 \times 1.75 \times 2 \times (a) }{7 \times 2 \times 10} = 192.5$

Therefore

a = 350

Therefore 350 silver coins must be melted so as to form the cuboid.

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