Mathematical Modelling and Problem Solving

Mathematical Modelling and Problem Solving

ALL questions below regarding painting a bedroom must be answered. Show ALL step-by-step calculations, round all of your final answers correctly, and include the units of measurementFor full credit, all explanations must be given in the spaces provided. Upload this modified Answer Form to the intellipath Unit 2 Submission lesson. Make sure that you submit your work in a modified Microsoft Word document; scanned or handwritten work will not be accepted. If you need assistance, please contact your course instructor.

Mathematical Modelling and Problem SolvingAll of the commonly used formulas for geometric objects are just the mathematical models of the characteristics of physical objects. For example, because a basketball is approximately a sphere, it can be partially modeled by its distance from one side through the center (radiusr) and then to the other side by the diameter formula for a sphere, D = 2r .

For the two-dimensional variables of length (L) and width (W), the perimeter and area formulas for a rectangle are mathematical modelling for the distance around a rectangle (perimeterP) and the region enclosed by the sides (areaA), respectively, as follows:

P = 2L + 2W and A = L × W

Along with another variable, height (H), a three-dimensional rectangular prism’s volume and surface area can be measured. For example, the formulas for a common closed cardboard box’s inside space (volumeV) and outside covering (surface areaSA) are, respectively, as follows:

V = L x W x H and SA = 2(L x W) + 2(W x H) + 2(L x H)

For this Submission of mathematical modelling Assignment, follow Pólya’s principles to solve your problems, as follows:

1. Understand the problem.

2. Devise a plan.

3. Carry out the plan.

4. Take a look back.

Include the following in your  mathematical modelling assignment:

· Explain your interpretation of what the problem is about.

· Develop and write down a strategy for solving this problem; show the steps in the correct order for your attempted solution.

· Did your strategy actually solve the problem? How do you know?

· Suppose that your solution did not solve the problem—what would your next action be?

Painting a Bedroom

The walls and ceiling inside your bedroom need to be painted. To save money, you decide that you will paint the bedroom yourself. Use the following information to solve this problem:

· The bedroom is 17 feet long by 18 feet wide, and the ceiling is 9 feet high.

· The inside of the bedroom door will be painted the same color as the walls.

· Two coats of paint will be applied to all of the painted surfaces.

· The room has one window, measuring 3 feet, 9 inches by 4 feet, which will not be painted.

Pólya’s Principle Step 1: Understand the Problem

1. Describe in detail what you understand the problem to be. In other words, what problem will you need to solve? Is there enough information to enable you to find a solution to your problem?

Show your work here: (10 points)

2. Discuss different ways to construct the room that will be painted. Are there any restrictions on where the window and door will be located? Will the overall amount of paint that is needed change based on where these are placed in the room?

Get Best Assignment Writing Service with Contentmart

Contentmart
Calculate your paper price
Pages (550 words)
Approximate price: -

Why Work with Us

Homework Market

Top Quality and Well-Researched Papers

We always make sure that writers follow all your instructions precisely. You can choose your academic level: high school, college/university or professional, and we will assign a writer who has a respective degree.

Homework Market

Professional and Experienced Academic Writers

We have a team of professional writers with experience in academic and business writing. Many are native speakers and able to perform any task for which you need help.

Homework Market

Free Unlimited Revisions

If you think we missed something, send your order for a free revision. You have 10 days to submit the order for review after you have received the final document. You can do this yourself after logging into your personal account or by contacting our support.

Homework Market

Prompt Delivery and 100% Money-Back-Guarantee

All papers are always delivered on time. In case we need more time to master your paper, we may contact you regarding the deadline extension. In case you cannot provide us with more time, a 100% refund is guaranteed.

Homework Market

Original & Confidential

We use several writing tools checks to ensure that all documents you receive are free from plagiarism. Our editors carefully review all quotations in the text. We also promise maximum confidentiality in all of our services.

Homework Market

24/7 Customer Support

Our support agents are available 24 hours a day 7 days a week and committed to providing you with the best customer experience. Get in touch whenever you need any assistance.

Try it now!

Calculate the price of your order

Total price:
$0.00

How it works?

Follow these simple steps to get your paper done

Homework Market

Place your order

Fill in the order form and provide all details of your assignment.

Homework Market

Proceed with the payment

Choose the payment system that suits you most.

Homework Market

Receive the final file

Once your paper is ready, we will email it to you.

Our Services

No need to work on your paper at night. Sleep tight, we will cover your back. We offer all kinds of writing services.

Homework Market Homework Market

Essays

Essay Writing Service

No matter what kind of academic paper you need and how urgent you need it, you are welcome to choose your academic level and the type of your paper at an affordable price. We take care of all your paper needs and give a 24/7 customer care support system.

Homework Market Homework Market

Admissions

Admission Essays & Business Writing Help

An admission essay is an essay or other written statement by a candidate, often a potential student enrolling in a college, university, or graduate school. You can be rest assurred that through our service we will write the best admission essay for you.

Homework Market Homework Market

Reviews

Editing Support

Our academic writers and editors make the necessary changes to your paper so that it is polished. We also format your document by correctly quoting the sources and creating reference lists in the formats APA, Harvard, MLA, Chicago / Turabian.

Homework Market Homework Market

Reviews

Revision Support

If you think your paper could be improved, you can request a review. In this case, your paper will be checked by the writer or assigned to an editor. You can use this option as many times as you see fit. This is free because we want you to be completely satisfied with the service offered.