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Cool question !

Answer - half it then cube it

to prove it - an example for you

if cube diagonal (not square diagonal) is 100,

then using pythagoras theorm the square diagonal = 70.71068,

If square the square diagonal = 70.71068,

then using pythagoras theorm the side length = 50

therefore the volume = 50 ^ 3 = 25000 units

works with any numbers

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โˆ™ 2011-07-21 09:41:32
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Q: How do you find the volume of a cubical box when diagonal is given?
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The Volume of a cubical box is 2.197 Cubic centmetre.How can you find the lenght of its one side?

The volume of an oblong is: volume = length x width x height As the box is cubical, ie is a cube, all sides are of equal length, thus: volume_cube = side x side x side = side3 So, given the volume: side = cube_root(volume) ie, take the cube root of the volume of 2.197cm3.

How do you find the volume of a cube if you know the diagonal?

you don't. you have your teacher do that for you

If a diagonal of a cube is known how to find the volume of the cube?

If the diagonal is d thenV = [d/sqrt(3)]^3

The volume of a cubical box is 3.375 cubic meters find the length of each edge of the box?

The length of each edge is: 1.5 meters.

How do you find the area of a parallelogram if only the diagonal is given?

You cannot. There is not enough information.

How do you find the area of a missing side of a cuboid?

The answer depends on what information is provided: the volume, total surface area, principal diagonal, minor diagonal, etc.

How do you find the edge of a cube if the measure of the diagonal is given?

The longest diagonal in a cube is equal to the length of the edge, multiplied by the square root of 3.

How do you find the area of a square given only the length of its diagonal?

Given the length of the diagonal of the square ... call it 'D units'. The area of the square is (1/2 D2) (same units)2.

How do you find the mass of an object when given the volume?

volume = volume x density

How do you find the volume of a cylinder when height and volume is given?

Volume = pi*r2*h

How does on find mass when given density and volume?

Multiply them: density*volume = mass

How can you find out if a figure has the same volume?

By comparing the volume given to each figure.

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