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A ) ![\sqrt[4]{ x^{3} } = x^{3/4}](https://tex.z-dn.net/?f=%20%5Csqrt%5B4%5D%7B%20x%5E%7B3%7D%20%7D%20%3D%20x%5E%7B3%2F4%7D%20)
B )
C )![\sqrt[10]{ x^{5} * x^{4}* x^{2} } = \sqrt[10]{ x^{11} }= x^{11/10}](https://tex.z-dn.net/?f=%20%5Csqrt%5B10%5D%7B%20x%5E%7B5%7D%20%2A%20x%5E%7B4%7D%2A%20x%5E%7B2%7D%20%20%7D%20%3D%20%5Csqrt%5B10%5D%7B%20x%5E%7B11%7D%20%7D%3D%20x%5E%7B11%2F10%7D%20%20)
D )
Therefore: B = D
B )
C )
D )
Therefore: B = D
Given :
The volume of a cube is related to the area of a face by the formula .
To Find :
The volume of a cube whose face has an area of 100 cm.
Solution :
Area is :
A = 100 cm.
Putting value of A in given equation of volume.
We get :
Therefore, volume of cube is 10000 cm².
Hence, this is the required solution.