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How do you find the cube root of a decimal fraction?
It depends on the fraction. Sometimes it helps to convert the decimal into a rational fraction. For example, 0.296296... recurring = 296/999 = 8/27. Now so cuberoot(8/27) = cuberoot(8)/cuberoot(27) = 2/3 = 0.66... recurring. This method only works if the cuberoot is a simple rational fraction. In general, however, the best option is numerical iteration, using the Newton Raphson method. To find the cuberoot of k, let f(x) = x^3 - k. then finding the cuberoot of k is equivalent to finding the 0 of f(x). Let f'(x) = 3*x^2 [the derivative of f(x)] Start with an approximate answer, x(0). Then for n = 0, 1, 2, ... Let x(n+1) = x(n) - f(x(n))/f'(x(n)) The sequence x(0), x(1), x(2), ... will converge to the cuberoot of k. The iteration equation, given above, is much easier to read if the n and n+1 are read as suffices, but the new and "improved" browser cannot handle suffices!
How many dimensions does a cube root as a perfect cube have?
A cube root of a perfect cube has only one dimension. A perfect cube is a number that can be obtained by multiplying an integer by itself three times. Taking the cube root of a perfect cube will give you the original integer value, effectively reducing the dimensionality back to one.
How many shapes an faces does a cube have?
A cube has only one shape and that is of a cube! It has six faces.
If you have a cube and a sphere that weigh the same but only the cube will float what does that tell you about the volume?
The cube has a larger volume.
What are the different cube shapes names?
There is only one cube shape and it is called a cube or a regular hexahedron.
