Examples with solutions for Cubes: Finding a diagonal - using the Pythagorean theorem

Exercise #1

Shown below is a cube with edges equaling 5 cm.

What is the length of the diagonal on the cube's face?

555

Video Solution

Answer

5×2 5\times\sqrt{2} cm

Exercise #2

Shown below is a cube with edges equal to 2 cm.

What is the length of the diagonal of the cube's face shown in the figure?

222

Video Solution

Answer

2×2 2\times\sqrt{2} cm

Exercise #3

Below is a cube with edges equal to 4 cm.

What is the length of the diagonal of the cube's face indicated in the figure?

444

Video Solution

Answer

4×2 4\times\sqrt{2} cm

Exercise #4

Shown below is a cube with edges equal to 10 cm.

What is the length of the inner diagonal of the cube?

101010

Video Solution

Answer

17.3 17.3 cm

Exercise #5

Shown below is a cube with edges that equal 6 cm.

What is the length of the inner diagonal of the cube?

666

Video Solution

Answer

10.39 10.39 cm