If 11.25m of a Uniform Iron Rod Weighs 42.75 kg What will be the Weight of 6m of the Same Rod?

  • If 11.25m of a uniform iron rod weighs 42.75 kg.
  • The weight of 6m of the same rod can be figure out in this way.

Explanation

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Two given entities here are

  1. Length
  2. Weight

To determine the relation here, let suppose; weight of 6m rod = y

Case

As we know that;

Length                 Weight

11.25                   42.75

6                           y

  • Weight increases as the length increased.
  • Weight decreases as the length decreased.

This clearly indicates that there is direct relation.

Direct/Indirect relation tells how the equation will be written.

11.25 : 6  ::  42.75 : y ________ (A)

After simplifying equation (A), we can easily figure out the value of y (y = 22.8 kg)

To Find

Weight of 6m rod = y

Solution

Method I

Let suppose

Weight of 6m rod = y

Length                 Weight

11.25                   42.75

6                           y

Relation between length and weight is direct, so;

11.25 : 6  ::  42.75 : y

11.25 x y = 6 x 42.75

y = 256.5/11.25

y = 22.8 kg

Weight of 6m rod = 22.8 kg answer

Method II

Weight of 11.25m uniform rod = 42.75 kg

Weight of 1m uniform rod = 42.75/11.25

Weight of 1m uniform rod = 3.8 kg

Weight of 6m uniform rod = 3.8 x 6

Weight of 6m uniform rod = 22.8 kg

Weight of 6m rod = 22.8 kg answer

Conclusion

If 11.25m of a uniform iron rod weighs 42.75 kg, the weight of 6m rod will be 22.8 kg.

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