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
V = (L)(W)(H)
3
V = (230m)(230m)(147m)
3
147
V = 7 776 300 m3
3
V = 2 592 100 m3
230
230
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.
r2h
3
V = 5220
3
V=
20
5
V =1570
3
V =523.3 cm3
radius = 695 500 km
The
radius
of a
basket
ball is
12 cm.
Find the
volume
Volume of a basketball
4r 3
V
3
12 cm
4r 3
V
3
4r
V
3
3
4 (12)
V
3
3
21703 .68
V
3
V  7234.56cm
3
Try the
textbook
questions