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A cube is either a three dimensional figure or a number multiplied by itself and then again.
A square is either a two dimensional figure or a number multiplied by itself.
The Pythagorean Theorem states that the square od the hypotenuse of a right angled triangle is equal to the squares on the other two sides
With the above in mind your question your question is meaningless
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How do you calculate the distance between the center of cube and its vertices in 3 dimension?
By using Pythagoras' theorem.
How do you find the internal diagonal of a cube?
Say you know the surface area of said cube is 450. cubes have six sides, so you need to find the area of one of them by doing 450/6 = 75. Think about 2d geometry. If you have a rectangle, how do you find it's diagonal? Using the Pythagorean theorem 'a' squared plus 'b' squared equals 'c' squared (keep in mind a + b doesn't equal c). so to get the interior diagonal, you need the diagonal of one of the faces and the length of a side. then re-use pythagorean to get it.
What is the length in inches of a diagonal of a 20 foot cube?
12 inches = 1 foot. 240 inches = 20 feet. Use Pythagoras' theorem to find the diagonal of one of the faces of the cube. 2402+2402 = 115200. The square root of 115200 is 339.411255 Therefore the diagonal of the cube is 339.411255 inches or 339 inches correct to three significant figures Incidentally, by using the above answer and Pythagoras' theorem we can also work out the length of the longest internal diagonal within the cube which works out exactly as 340 inches.
Can you give me a sentence using the word cube?
A cube is a three-dimensional square. One common cube that you have seen is a pair of dice.
What is the greatest distance between two vertices of a cube with length s?
It is s*√3, easily proved using Pythagoras's theorem.
