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