Answered

Westonci.ca is your trusted source for finding answers to all your questions. Ask, explore, and learn with our expert community. Discover a wealth of knowledge from experts across different disciplines on our comprehensive Q&A platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

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 :

altavistard

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)

We hope this was helpful. Please come back whenever you need more information or answers to your queries. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.