Question

Using V = lwh , find an expression in factored form for the volume of this prism. Explain the general steps you used to arrive at this answer.

Answer 1

Write 2x – 5 over 1.

Factor numerators and denominators, when possible

Divide out common factors to simplify.

Determine that the volume is (x)(6x)(2x – 5)

Answer 2

I did this before the correct answer is.

Using the given equation of,
                              V = lwh
The volume of the given prism in the figure is,
                              V = (x² - x / 4x + 1) (2x - 5)(24x² + 6x / x - 1)
By factoring,
                            V = ((x)(x - 1) / (4x + 1))(2x - 5)((6x)(4x + 1) / (x - 1))
Eliminating terms appearing in both the denominator and numerator,
                           V = (x)(2x -5)(6x)