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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

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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