Question

The length width and height of a rectangular solid are 8,4,1 respectively what is the length of the longest line segment whose endpoints are two vertices of this solid

Answer 1

9 units

Explanation:

Given

`Length = 8`

`Width = 4`

`Height = 1`

Required

Determine the length of the longest segment

To do this, we use:

`Longest = √(Length^2 + Width^2 + Height^2)`

So, we have:

`Longest = √(8^2 + 4^2 + 1^2)`

`Longest = √(64 + 16 + 1)`

`Longest = √(81)`

Take positive square root

`Longest = 9`

Hence, the length of the longest segment is 9 units