Question

Find the missing diagonal length of a cube below: 8cm is on the outside bottom

Answers

GPT 3.5
To find the missing diagonal length of the cube, we need to use the Pythagorean Theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

In this case, we can consider the bottom, the missing diagonal, and the side of the cube as the three sides of a right triangle. The side of the cube being 8cm.

Let's call the missing diagonal "d".

Using the Pythagorean Theorem:

d^2 = 8^2 + 8^2
d^2 = 64 + 64
d^2 = 128

Taking the square root of both sides to solve for "d":
d = √128
d ≈ 11.31 cm

Therefore, the missing diagonal length of the cube is approximately 11.31 cm.

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