Question

The volume of a cube is 27 n Superscript 27cubic units. What is the length of one side of the cube? 3 n cubed units 3 n Superscript 9 units 27 n cubed units 27 n Superscript 9 units

Answer 1

the answer is 3n^9

Explanation:

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Answer 2

The length of side of cube is
`3n^9` units

Solution:

Given that, volume of cube is
`27n^(27)` cubic units

To find: length of one side of cube

The volume of a cube is given as:

`v = a^3`

Where, "a" is the length of side of cube

Substituting the given value of volume we get,

`27n^(27) = a^3` ------ eqn 1

We know that,

`27 = 3 * 3 * 3 = 3^3`

Substitute the above in eqn 1

`3^3 n^(27) = a^3`

Now again substitute for 27 = 3 x 9

`3^3n^(3.9) = a^3`

Take 3 as common power

`(3n^9)^3 = a^3`

By taking cube roots on both side,

`3n^9 = a\\\\a = 3n^9`

Thus length of side of cube is
`3n^9` units