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A solid rectangular piece of iron measures $5 m × 6 m × 2 m .$ Find the weight of this piece in kg if $1 m 3$ of iron weighs 50 grams. Also, find the cost of the piece of iron at the rate of $R s .750 / kg$ .

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1 kg, Rs.

7854

2 kg, Rs.

8578

3 kg, Rs.

2250

4 kg, Rs.

3325

answer is C.

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Detailed Solution

Given that, rectangular piece of iron has dimensions

5 m × 6 m × 2 m .

1 m 3

of iron weighs 50 grams.
Volume of the cuboid

= l b h

, where l is length, b is breadth, h is height.
The weight of this piece,

⇒ 5 × 6 × 2 × 50 g ⇒ 60 × 50 g ⇒ 3000 g ⇒ 3 k g

The cost of the piece of iron,

⇒ 3 × 750 ⇒ R s .2250

Thus, the weight of the iron piece is 3 kg and its cost is Rs.2250.
Therefore, option (3) is correct.

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