If the cube shown is 8 centimeters on all sides, what is the length of the diagonal, x, of the cube? (rounded to the nearest tenth)

13.8 cm

Step-by-step explanation:

Assuming the cube is the cube shown in the attached image, its diagonal is .

Now, for a cube which each side is , its diagonal is given by the pithagorean theorem:

(1)

Where is the hypothenuse of the right triangle formed in one of the cube's faces:

(2)

Then the formula for the diagonal is:

(3)

(4)

If :

(5)

Finally:

x=13.8 cm

step-by-step explanation:

i have done this all on a piece of paper but idk how to put it on here cuz it needs to be drawn

95.03 is the answer. hope this !