Question

1. Kylie needs to pack her baton

for a color-guard competition.
She has a rectangular box with
a base of 6 inches by 8 inches
and a height of 6 inches. What
is the longest baton that could
fit diagonally in the box?

Answer 1

Explanation:

11.66 inches

Answer 2

To find the longest baton that could fit diagonally in the box, we need to find the length of the longest diagonal of the rectangular box.

Using the Pythagorean theorem, we can find the diagonal length:

diagonal length = sqrt(6^2 + 8^2 + 6^2)

= sqrt(36 + 64 + 36)

= sqrt(136)

≈ 11.66 inches

Therefore, the longest baton that could fit diagonally in the box is approximately 11.66 inches long.