The diagram represents a right rectangular prism with dimensions labeled as algebraic expressions.

Which of these expressions represents the volume of the prism?

A.) 7x

B.) 4x² - 25

C.) 12x³ - 75x

D.) 3x(4x² - 25)

E.) (2x + 5)(6x² - 25x)

F.) 12x³ + 60x³ + 75x

G.) 12x³ - 30x³ + 10x - 25

A.) 7x

B.) 4x² - 25

C.) 12x³ - 75x

D.) 3x(4x² - 25)

E.) (2x + 5)(6x² - 25x)

F.) 12x³ + 60x³ + 75x

G.) 12x³ - 30x³ + 10x - 25

**Volume of a rectangular prism**

= length x width x height

= length x width x height

V = lwh

= (2x - 5)(2x + 5)(3x) {substituted given values into volume formula}

= (4x² - 25)(3x) {multiplied the two binomials using the foil method}

**D.) 3x(4x² - 25)**{moved the 3x, to the front, in order to match answer D.}

**- Algebra House**