Question

The diagram represents a right rectangular prism with dimensions labeled as algebraic expressions.
Which of these expressions represents the volume of the prism?

Select all that apply. *Choose 3*

Answer 1

Answer:

3rd Option

Step-by-step explanation:

Volume = (2x-5)*(2x+5)*3x

Volume = (4x^2 + 10x - 10x -25)*3x

Volume = 12x^3 +30x^2 -30x^2 - 75x

Volume = 12x^3 - 75x

Answer 2

The expressions represent the volume of the prism is

V = 12x^2 - 75x

The volume of a rectangular prism

The formula for calculating the volume of rectangular prism is expressed as:

V = lwh

l is the length

w is the width

h is the height

Given the following

l = 2x + 5

w = 2x - 5

h = 3x

V =  3x(2x+5)(2x-5)

V = 3x(4x^2 - 25)

V = 12x^2 - 75x

Hence the expressions represent the volume of the prism is

V = 12x^2 - 75x

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