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

Answer:

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).

Step-by-step explanation:

Answer 2

Answer:

V = 6x²(2x - 5)

Step-by-step explanation:

Factor the dimensions, that is

24x² + 6x = 6x(4x + 1) ← common factor of 6x

x² - x = x(x - 1) ← common factor of x

The product lwh can now be written

V = $\frac{6x(4x+1)}{x-1}$ × (2x - 5) × $\frac{x(x-1)}{4x+1}$

Cancel the factors (4x + 1) and (x - 1) from the numerators/ denominators

V = 6x × x × (2x - 5) = 6x²(2x - 5) ← in factored form