Test on Wed Oct 8 - students with extra time will be permitted to write until 3:40pm.
Topics:
1. Area, Volume, Surface of regular shapes and composite figures (review your quiz)
2. Optimizing area and perimeter
3. Optimizing surface area and volume for square based prisms and cylinders
4. unit conversions
Format:
Short answer - only final answer will be marked
Long answer - full solution required
More practice for optimization
1. A camp counsellor is fencing off a rectangular play area for young campers. She uses the side of one cabin and is allowed to have a maximum play area of 16m2.
a). What is the equation that you will input into a graphing program to minimize the amount of fencing she will need?
b). What are the dimensions of the play area with minimum perimeter? (use graph to help)
c). Draw a sketch of this play area.
2. A tissue box in the shape of square-based prism is to have a volume of 2500cm3.
a) Determine the dimensions of the tissue box with minimum surface area. (use graph and equations)
b) Draw a sketch of the tissue box.
c) why is this a bad design for a tissue box?
