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 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,

$27 = 3 \times 3 \times 3 = 3^3$

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

Answer 2

Answer:

the answer is 3n^9

Step-by-step explanation:

I just took the test ;)