Question

The side length, s, of a cube is 4x2 3. if v = s3, what is the volume of the cube?

Answer 1

Thank you for posting your question here in brainly. Below are the choices that can be found elsewhere:

64x6 + 144x4 + 108x2 + 27

64x6 + 48x4 + 12x2 + 1

4x6 + 36x4 + 108x2 + 27

4x6 + 12x4 +12x2 + 1

The answer to the above problem is 64x6 + 144x4 + 108x2 + 27. I hope it helps. 

Answer 2

Answer:

The Volume of the cube is

$(64x^{6}+144x^{4}+108x^{2}+27)$

Step-by-step explanation:

we know that

The volume of a cube is equal to

$V=s^{3}$

where

s is the length side of the cube

In this problem we have

$s=(4x^{2} +3)$

Substitute

$V=(4x^{2} +3)^{3}$

Remember that

$(4x^{2} +3)^{3}=(4x^{2} +3)^{2}(4x^{2} +3)$

$(4x^{2} +3)^{2}(4x^{2} +3)=[16x^{4}+24x^{2} +9]( 4x^{2} +3)$

$=64x^{6}+48x^{4}+96x^{4}+72x^{2}+36x^{2}+27$

Combine like terms

$=64x^{6}+144x^{4}+108x^{2}+27$