The Volume of Complex Figures

All of the formulas for volume can be found on the sheet posted at the

top of the Measurement and Geometry Page

This sheet will be provided to you on all quizzes, tests, and exams, so there is no need to memorize the structure.

We will try an example of each of the more complex formulas just to be sure we are clear on

the order of operations

the Great Pyramid of Khufu

• The Great Pyramid of Giza. Built in 2560 BC, it is the oldest and largest of the three pyramids in the Giza Necropolis.

This pyramid is 147m tall.

The length of each base side is 230 m

Determine its volume

Find the Volume of the Pyramid

3

V = (230m)(230m)(147m)

147

230

230

3

V = 7 776 300 m3

V = 2 592 100 m3

3

V = (L)(W)(H)

A snow cone has a radius of 5 cm and a height of 20 cm

Find the volume of sugar ice that it can hold.

V = r2h

3

5

20

V = 5220

3

V =1570

3

V =523.3 cm3

radius = 695 500 km

The radius of a

basketball is

12 cm.

Find the volume

Volume of a basketball

3

4 3rV

3

)12(4 3V

3

4 3rV

12 cm

356.7234 cmV

3

4 3rV

3

68.21703V

Try the textbook questions