Question

the side length of a cube can be represented by the expression 2x^5. if the side length is doubled, write an expression to represent the new volume of the cube

Answer 1

64x^15

Explanation:

given length of each side of the cube = 2x^5

length doubled = 2 · ( 2x^5 ) = 4x^5

volume of cube

= length ^3

= (4x^5 )³

= 4³ · (x^5)³

=64 · x^ (5·3)

=64 · x^15

=64x^15