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Iron, which weighs 50 kg per $m 3$ , is used to make a beam that is 9 m long, 40 cm wide, and 20 cm high. The beam weighs approximately

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27 kg

48 kg

36 kg

56 kg

answer is C.

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Detailed Solution

It is given that the weight of iron, which is used to make a beam that is 9 m long, 40 cm wide, and 20 cm high, is 50 kg per cubic

m 3 .

We know that the volume of a cuboid is

V = l × b × h,

where

l

is length,

b

is the breadth, and

h

is height.
The weight of an object is

W = m × V,

where m is the mass of the object.
Given that the cubical beam is 9 m in length, 40 cm in width, and 20 cm in height.
Convert width and height from cm to m.

40 cm = 40100 m = 0 .4 m 20 cm = 20100 m = 0 .2 m

Calculate the volume of the beam as shown:

V = l × b × h = 9 × 0.4 × 0.2 m 3 = 7.2 m 3

Mass of the beam is 50 kg per

m 3 .

Calculate the weight of the beam as,

W = m × V = 50 × 7.2 kg = 36 kg

Therefore the beam weighs approximately 36 kg.
Hence, option (3) is correct.

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