Question

PLEASE HELP I BEG YOU!!!
What is the longest line in a cube that has a side length of 7 cm?

Answer 1

14cm

Explanation:

All side lengths in a cube will be 7 as the properties of a cube are such that all the side lengths are the same.

Think of the longest line in a cube as a hypotenuse on a triangle.

`7^(2) + 7^(2) = c^(2)`

49 + 49 =
`c^(2)`

`c^(2)` = 98

c =
`√(98)`

`(√(98))^(2) + (√(98) )^(2)` =
`c^(2)`

`c^(2)` = 98 + 98

`c^(2)` = 196

c =
`√(196)`

c = 14

The longest line in a cube that has a side length of 7cm is 14cm.