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What is the volume of a rectangular prism whose length is 2x+1 units, width is x-2 units, and whose height is 3x units?

6x^3-9x^2-6x cubic units

6x^2-9x-6 square units

6x^3-9x^2+6x cubic units

6x^3-15x^2+6x cubic units

Sagot :

Altavistardidn

Answer:

V = 6x^3 - 9x^2 - 6x (which matches the third answer choice)

Step-by-step explanation:

The volume of a rectangular prism of length L, depth W and height H is

V = L * W * H.

Thus,

in this case,

V = (2x + 1)(x - 2)(3x).

The order in which we multiply these quantities together is immaterial.

Working from left to right, we get:

V = (2x^2 - 3x - 2)(3x), and then:

V = 6x^3 - 9x^2 - 6x (which matches the third answer choice)

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