Volume of prisms
March 10, 2011
For all the different prisms and cylinders we find the volume
by taking the area of the base and multiplying it by its height.
Objective: Introduction to Volume
V= Bh
volume= space inside a 3-D figure
h
Visual of volume... and changing box dimensions...
http://illuminations.nctm.org/ActivityDetail.aspx?ID=6
s
r
w
l
V= s3
V= lwh
h
V= πr2h
like post-it notes...
r
r
h
h
h
l
w
3
V= s
V= πr2h
V= lwh
h
l
s
w
b
b
c
c
a
a
a = 35 in
b = 15 in
c = 21 in
a = 31 in
b = 10.7 in
c = 19.6 in
r
r
h
h
h
h
l
V= lwh
w
V= πr2h
l
s
V= s3
V= lwh
a
c
b
a = 23 mm
b = 6 mm
c = 2 mm
s
3
V= s
V= πr2h
V= lwh
a
a = 9 ft
w
V= πr2h
s
V= s3
Volume of prisms
March 10, 2011
Traingles.... V=Bh
r
h
V=( 1 bh ) l
h
l
w
V= πr2h
V= lwh
2
s
cm
42
V= s3
29 cm
21 cm
40 cm
a
a = 14 cm
Traingles.... V=Bh
V = Bh
in
16
5 in
4 in
a
6 in
c
b
a= 35 cm
b= 24 cm
c= 43 cm
V= Bh
For all the different prisms and cylinders we find the volume
by taking the area of the base and multiplying it by its height.
h
a
c
b
l
w
s
r
V= s3
V= lwh
h
a= 5 mm
b= 12 mm
c= 9.1 mm
V= πr2h
Volume of prisms
March 10, 2011
r
r
h
h
h
h
l
w
b
l
s
V= s3
V= πr2h
V= lwh
w
b
s
V= s3
V= πr2h
V= lwh
a
a
a = 55 cm
b = 2 cm
a = 39.6 in
b = 5 in
r
r
h
h
h
l
w
V= lwh
b
V= πr2h
h
l
s
3
V= s
a
V= lwh
b
a
a = 11.76 cm
b = 6.2 cm
a = 14 in
b = 10.2 in
HW is a w.s.
show your work!!!
w
V= πr2h
s
3
V= s
:)