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There is no "only" such number; there are three: 0, 1, and -1.

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Q: Which is the only cube having the same value as its cuberoot?
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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.

Related questions

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!


Find the cuberoot of 1728 by factor method?

Out of the factor pairs of 1728, only 144 and 12 have a square/square root relationship. 12 has to be the cube root of 1728. (1728,1)(864,2)(576,3)(432,4)(288,6)(216,8)(192,9)(144,12)(108,16)(96,18)(72,24)(64,27)(54,32)(48,36)


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.


How do you get the perimeter of the cube?

You can only figure ot the surface area of a cube.


What are the no. of spaces in cube?

A cube encloses only one contiguous space.


What are the 12 nets of a cube?

there are no 12 nets of a cube. there are only eleven!


Is it possible to construct a cube of twice the volume of given cube using only a straightedge and compass?

No, it is not possible to construct a cube of twice teh volume of a given cube using only a straightedge and a compass.


Is it possible to construct a cube of twice the volume of the given cube using only a straightedge and compass?

No, it is not possible to construct a cube of twice teh volume of a given cube using only a straightedge and a compass.


How many edges does a cube has?

A cube has only 8 edges. * * * * * Actually, a cube has 12 edges, NOT 8.