Finding line segment length between two fartherst corners of a cube.

[LearninDaMath]

Homework Statement

The volume of a cube is 8, how long is its main diagonal (the line segment joining the two farthest corners)?

Homework Equations

Pythagorean theorem

The Attempt at a Solution

I have no idea how to determine the length of the line segment between the two farthest corners of a cube. I've never confronted a problem of this sort.

Once I learn how to determine that line segment, I'll be able to solve the rest of the problem using Pythagorean Theorem.

 

[Mark44]

Homework Statement

The volume of a cube is 8, how long is its main diagonal (the line segment joining the two farthest corners)?

Homework Equations

Pythagorean theorem

The Attempt at a Solution

I have no idea how to determine the length of the line segment between the two farthest corners of a cube. I've never confronted a problem of this sort.

Once I learn how to determine that line segment, I'll be able to solve the rest of the problem using Pythagorean Theorem.

Find the length of a diagonal on the base. That diagonal will be the base of a triangle whose hypotenuse is the length you want.