Question

A child has an empty box that measures 4 inches by 6 inches by 3 inches. View the figure.What is the length of the longest pencil that will fit into the box, given that the length of the pencil must be a whole number of inches? Do not round until your final answer.

Answer 1

For this case we can do the following:

We can find the value of s on this way:

`s=\sqrt[]{6^2+4^2}=\sqrt[]{52}=7.21`

And solving for r we got:

`r=\sqrt[]{6^2+3^2}=\sqrt[]{45}=6.71`

Then the answer for this case would be:

`\sqrt[]{52}=7.21`