Constructing a Shed
CLA - SHSM - MCR3U, Gr. 11 Univ. Math, Fletcher's Meadow SS
You have been asked to come up with a plan to build a shed for your math teacher. Refer to the diagrams below to
- calculate necessary areas of the shed
- determine the amount of material required
- prepare a written estimate
Your teacher has to borrow the money to pay you, so you will
- determine the cost of borrowing and
- research a career in construction and make a flyer
Round off your answers to one decimal place where necessary.
1. To calculate the total roof area.
b) Calculate the area of the door and the window. The dimensions for the window are listed in diagram 1 and dimensions for the door are listed in diagram 2.[2 marks]
c) Now calculate the total area of all walls. Assume that there is just one door and one window in the shed. Make sure to subtract the area of a window and area of the door.[4 marks]
3. To determine material needed to complete the job.
4. Prepare a written estimate for the job.
Given: You will use pre-made trusses to build the roof and they are shown in the top half of Diagram 2. The total cost of the 2 trusses (front & back), along with the framing studes, is approximately $1100 delivered, plus HST. The screws and nails needed for the job will cost $50, plus HST.
a) Determine the cost of the plywood needed to build walls and roof of the shed. Online, you may want to find the cost of a plywood sheet that is 4 foot by 8 foot; choose the appropriate thickness of the plywood sheet for the job. The plywood sheet of 4 foot by 8 foot is approximately the same size and cost, as a 1.2 m by 2.4 m sheet of plywood. [ 2 marks]
b) Determine the cost of the shingles needed. [2 marks]
c) To estimate the labour costs: [3 marks]
There is a concrete slab base that has been poured for the floor of the shed so you don't need to include that expense in your estimate.
Do some research and include the following in your estimate:
- your hourly rate that you will charge: ___________
- number of hours to complete the job: ____________
- total labour charges:
d) Determine the total estimated cost of the shed including labour and materials. Your supplier has the window you need on sale for $110, and the door is $200. Remember that materials and labour have HST costs. [6 marks]
5. Borrowing to pay for the project.
Your teacher has two payment options.
The money can be borrowed at 5.8% compounded monthly. Calculate the amount that your teacher will have to pay in 3 years when the project is paid for. [2 marks]
Your teacher can put down $500 and borrow the rest at 6.5% compounded semi-annually. Calculate the total cost your teacher will have to pay using this option if the balance of the cost is paid off in 3 years. [2 marks]
You may watch the following video to understand how to calculate amount.
6. Make a flyer
- Job description
- Education/Experience required
- Working conditions
- Typical salary upon graduation
- # of working hours/week
- Perks of choosing this career
- Mathematical knowledge required
Refer to the following rubric.