Volume is a very important quantity It determines how much “stuff” can go into a container ...
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Transcript of Volume is a very important quantity It determines how much “stuff” can go into a container ...
1.2 VOLUME 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
volumePAPER
ROLLING EXPERIMEN
T
WORLD ARCHITECTURE FESTIVAL Architecture from all over the world
Al Bahr Towers by
Aedas(Abu Dhabi)
Benson Radiology by Tridente Architects (Australia)
Diamond House by Alan Tay (Singapore)
Emporia shopping center by Wingårdh Arkitektkontor (Sweden)
MEASURING BUILDINGS
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
CROOKEDEST STREET
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
Area =
THE CORE OF PONTE 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
INSIDE LOOK
THE CORE OF PONTE Model the building as a cylinder Radius = 30m; Height = 173m
VOLUME OF A COMPOSITE FIGURE World’s Steepest
Staircase Assume the stairs
below reflect the staircase
10 cm
20 cm
30 cm
DEPTH = 1m
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.
10 cm
20 cm
30 cm
DEPTH = 1m
30 cm
20 cm
100 cm
100 cm
20 cm
20 cm
100 cm
20 cm10 cm
Total Volume = 60,000 + 40,000 + 20,000 = 120,000 cm3
Or 1,200m3
1.2 HOMEWORK p.23 #1, 5, 8, 9, 12