Answer:
Option C; Option D; Option E
Explanation:
~ The volume of this prism is calculated through the general Base * height formula, in other words length * width * height ~
Here the length ⇒ 2x + 5, the width serves as ⇒ 2x- 5, and the height ⇒ 3x
1. Knowing the dimensions, let us apply the formula length * width * height to substitute and simplify to the point: ( 2x + 5 ) * ( 2x - 5 ) * ( 3x )
2. Through the process of simplification, we derive the answer ( s ):
( 2x + 5 ) * ( 2x - 5 ) * ( 3x ) = 3x * ( 4x^2 - 25 ) =
( 3x ) * ( 2x )^2 - ( 5 )^2 = 12x^3 - 75x; Option C
3x * ( 4x^2 - 25 ); Option D
or ⇒ ( 2x + 5 ) * ( 6x^2 - 15x ) =
( 2x + 5 ) * ( 2x - 5 ) * ( 3x ) = 12x^2 - 75x; Option C
( 2x + 5 ) * ( 6x^2 - 15x ); Option E