Question

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

Answer 1

Answer:

14cm

Step-by-step 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 = $\sqrt{98}$

$(\sqrt{98})^{2} + (\sqrt{98} )^{2}$ = $c^{2}$

$c^{2}$ = 98 + 98

$c^{2}$ = 196

c = $\sqrt{196}$

c = 14

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