Question

Edge! 15 pts! PLEASE HURRY! Which is a diagonal through the interior of the cube?

A cube. The top face has points A, B, D, C. The bottom face has points E, F, H, G.
Side A H
Side B E
Side C H
Side F G

Answer 1

Side AH

Explanation:

he other 3 sides only go through one face of the cube

Answer 2

s√3

Explanation:

Draw in the diagonal of the base, which is the line freom G to F. If the side length of this cube is s, then the length of this diagonal is

d = √(s² + s²) = (√2)s.

Now draw in the diagonal of the cube: draw a line segment from G to B. We have already found that the length of the diagonal GF is d = s√2. Apply the Pythagorean Theorem to the triangle whose sides are s√2 and s:

diagonal of cube = square root of the sum of the squares of s√2 and s:

= √(2s² + s²)= √(3s²) = s√3