Question

What is the longest stick that can be placed within a box whose inside dimension are 24 inches, 30 inches, and 18 inches?

Answer 1

42.42 inches

Explanation:

Given the dimension of the box are 24 inches, 30 inches, and 18 inches.

Considering the box is in rectangular in shape.

We also know that longest part of the box is the diagonal.

∴ lets calculate the diagonal to find longest stick that can be placed within a box.

Diagonal=
`\sqrt{a^(2)+b^(2)+c^(2) }`

Where a,b,c are the dimensions of the box.

Diagonal=
`\sqrt{24^(2) +30^(2)+18^(2) }`

⇒ Diagonal=
`√(576+900+324)`

⇒ Diagonal=
`√(1800)`

⇒ Diagonal= 42.42 inches

Hence, 42.42 inches longest stick that can be placed within a box.