0
Still curious? Ask our experts.
Chat with our AI personalities
Rafa
Vivi
ReneAdd your answer:
Earn +20 pts
How do you calculate the distance between two cubes?
The distance from n^3 to the next cube is 3n^2 + 3n + 1.
If the volume of a cube is 8 Why is the shortest distance from the center of the cube to the base of the cube 1?
The volume of a cube is the length of one of its sides (since all sides have equal length, for a cube) cubed. To find the side length from the volume, find the cubic root - in this case, it is easy as the cubic root of 8 is exactly 2. Now, because the centre of the cube is halfway between one side and its opposite, and one side being its base, the distance from the centre to that base will be half of its side length. For this cube, this is 2/2 which is 1.
What is the inverse of raising to powers?
Ah, the inverse of raising to powers is taking the root of a number. Just like how adding is the inverse of subtracting, roots are the inverse of exponents. It's all about finding balance and harmony in the world of mathematics.
What is a cube root function?
The cube root function is the inverse of the cube function. So, given a number y, the cube root function seeks to find a number, x, such that multiplying 1 by that number 3 times gives y. [Note that this is equivalent to multiplying the number by itself two times, not three.] That is, cuberoot(y) = x <=> x^3 = y For example, 2*2*2 = 8 so the cube root of 8 is 2. 1.5^3 = 3.375 so the cube root of 3.375 is 1.5 (-3)^3 = -27 so the cube root of -27 is -3. The cube root of y is denoted by y^(1/3). It can also be written using the radical symbol like for a square-root, but the radical must be preceded by a superscript 3. Apologies, but this browser is crap and so I cannot show that representation.
How do you calculate the distance between the center of cube and its vertices in 3 dimension?
By using Pythagoras' theorem.
