Julian forgot his bat when he left for baseball camp. His mother finds a box to ship it to him with the dimensions shown. If the bat measures 34 inches long, will the bat fit inside the box? Drag words to complete the statements about the diagonal of the base and the interior diagonal of the box. Words may be used once, more than once, or not at all.


Here are the words shorter than longer than equal to will not

The diagonal of the base of the box is

the bat.

The length of the interior diagonal of the box is

Respuesta :

The bat will fit in the box if the length of the bat is less than the interior diagonal of the box

Julian's bat will not fit inside the box

How to determine if the bat can fit the box?

From the complete question, the dimension of the box is:

32 in by 6 in by 8 in

Start by calculating the diagonal (d) of the base of the box using the following Pythagoras theorem

[tex]d^2 = 6^2 + 8^2[/tex]

Next, calculate the length of the interior diagonal of the box.

[tex]L = \sqrt{32^2 + d^2\\[/tex]

This gives

[tex]L = \sqrt{32^2 + 6^2 + 8^2}[/tex]

Evaluate

[tex]L = 33.53[/tex]

The length of the bat (34 inches) is greater than the interior diagonal of the box (33.53 inches)

Hence, the bat will not fit inside the box

Read more about interior diagonal at:

https://brainly.com/question/654982