Question

The ideal length of a particular metal rod is 30.5 cm. The measured length may vary from the ideal length by at most 0.015cm. What is the range of acceptable lengths of the rod?

Answer 1

The range of acceptable lengths of the rod is:

30.485 cm to 30.515 cm

Explanation:

The ideal length of a particular metal rod is: 30.5 cm.

The measured length may vary from the ideal length by at most 0.015 cm.

This means that the length of the rod could be less than 0.015 and greater than 0.015 cm of the ideal length.

Hence, the least length of rod could be:

30.5-0.015 = 30.485 cm

and the maximum length of rod could be:

30.5+0.015= 30.515 cm

Hence, the range is:

30.485 cm to 30.515 cm

Answer 2

With the given statement that the length of the rod is 30.5 cm and the acceptable variation would only by at most 0.015 cm is 30.485 cm to 30.515 cm. This is because is states that the rod must only have the 0.015 variance or otherwise it will not be accepted.