Measurement

1. Using Units of Measurements Extended Homework Task
Surface Area, Volume and Time
Task 1
Determine the dimensions of a prism that would have a volume of 1m³. Use these dimensions to
calculate the surface area of your prism.
1) Relevant calculations showing how you have determined the dimensions of the prism
2) A labelled 3D drawing/sketch of the prism
3) Relevant calculations for determining the surface area of the prism.
If you can show more than 1 prism or unusual prims, this will increase your grade. Do some
Funky Maths 
Task 2
Determine the dimensions (height and radius) of a cylinder that would have a capacity of one litre.
Use these dimensions to calculate the surface area of your cylinder.
1) Relevant calculations showing how you have determined the dimensions of the cylinder
2)A labelled 3D drawing/sketch of the cylinder
3)Relevant calculations for determining the surface area of the cylinder.
Task 3
Imagine that you are designing a tank, the tank must fit in a very
unusual space, see the diagram below. The tank must make use of
the 2.5m by 2m passage, but needs a base area of 8m². Please
sketch how the tank could look, include all measurement and
assumptions made.

2. Task 4
The tank from task 3 has to have a volume of 40m³.
The tank is to be filled with water, the water is pumped into the tank at 10ml per second. How long
will it take to fill the tank?
If the tank is filled using a new hose, it will be filled at 25ml per second. How much time will be
saved if the new hose is used to fill the tank?
Task 5
A tank costing $10,000 is predicted to last 15 years. A tank costing $25,000 is predicted to last
1900 weeks. Which tank is the better value for money? Show all workings out and assumptions made.
How can you submit this project?
 As a word/PDF document
 As a PP or other form of presentation
 As a video clip
 As a webpage
 Handwritten, but scanned and submitted via the Dropbox
Please submit your work to the Dropbox