Question

Kylie needs to pack her baton for a color-guard competition. The baton is 38 inches long. Will it fit in a rectangular box with a base of 13 inches by 35 inches and a height of 13 inches?

What is the diagonal??

HELP ASAP
Quiz is tmmr

Answer 1

The diagonal is 39.54 in

Explanation:

First we use the Pythagorean theorem to calculate the length of the diagonal of the base.

If the base measures 13 inches by 35 inches then the diagonal is:

`c = √(13^2 +35^2)\\\\c= 37.34\ in`

Now we use the Pythagorean theorem again to find the diagonal of the cube.

If the height of the box is 13 inches and the diagonal of the base is 37.34 inches then the diagonal of the cube will be

`z = √(37.34^2 +13^2)\\\\z= 39.54\ in`

The baton will fit in the box if it is placed in the direction of the diagonal of the cube, since:

39.54\ in > 38 inches