1.  Volume is a very important quantity  It determines how much “stuff” can go into a container  Consumers would want maximum volume  Companies would want minimum volume PAPER ROLLING EXPERIMENT

2.  Architecture from all over the world Al Bahr Towers by Aedas (Abu Dhabi)

3. Benson Radiology by Tridente Architects (Australia)

4. Diamond House by Alan Tay (Singapore)

5. Emporia shopping center by Wingårdh Arkitektkontor (Sweden)

6.  When designing a building, an architect must measure carefully so the structure is not only pleasing to the eye, but functions properly  It’s not even just buildings, its roads.  E.g. “The Crookedest Street in the World” in San Francisco

8. Underneath the street is dirt and rock, which creates a foundation for the road. Determine the volume of the crookedest street assuming a base that is parallel to level ground. 10 m 60 m 70 m 1.We would model the street at a triangular based prism 2.Just like a triangle is half the area of a rectangle, a triangular based prism is half the volume of a rectangular prism

9.  Not an ordinary cylindrical building  What if you had to determine it’s volume?  If you had to guess, where do you think this is located?  South Africa

11.  Model the building as a cylinder  Radius = 30m; Height = 173m

12.  World’s Steepest Staircase  Assume the stairs below reflect the staircase 10 cm 20 cm 30 cm DEPTH = 1m

13. 10 cm 20 cm 30 cm DEPTH = 1m In order to find the volume of these three stairs, look at each step as a rectangular prism.

14. 10 cm 20 cm 30 cm DEPTH = 1m 30 cm 20 cm 100 cm 20 cm 100 cm 20 cm 10 cm

15. Total Volume = 60,000 + 40,000 + 20,000 = 120,000 cm 3 Or 1,200m 3

16.  p.23 #1, 5, 8, 9, 12