Volume of Pyramids
What is the formula for the volume of a pyramid?
v= 1/3*B*h
What is the formula for the surface area for a pyramid?
S.A. = 1/2*l*p+B
What is the formula for volume of a cone.
V= 1/3*pi*r^2*h
What is the formula for surface area of a cone?
S.A. = pi*r^2+ pi*r*l
What happens to the volume when you double one of the measurements?
The volume doubles as well.
Find the volume for the pyramid:
side = 3 in
h = 4 in
V= 12 in^3
Find the volume for the pyramid:
side = 3 in
h = 4 in
l= 5 in
S.A.= 270 in^3
Find the volume of the cone:
r=2 cm
h=8 cm
V= 33.49 cm^3
Find the surface area of the cone:
r= 2 cm
h= 8 cm
l= 8.25 cm
S.A. = 64.37 cm^2
The surface area does not double but gets bigger.
Find the volume of the pyramid:
side= 5 mm
h= 12 mm
V=100 mm^3
Find the surface area of the pyramid:
side = 5 mm
h= 12 mm
l= 13 mm
S.A.= 155 mm^2
Find the volume of the cone:
r= 8 in
h= 9 in
V= 602.88 in^3
Find the surface area of the cone:
r= 8 in
h=9 in
l= 12.04 in
S.A. = 503.40 in^2
What happens to the volume when you cut a measurement in half?
The volume gets cut in half as well.
Find the volume of the pyramid:
side= 2 m
h= 3 m
V= 4 mm^3
Find the surface area of the pyramid:
side= 2 m
h= 3 m
l= 4 m
S.A= 20 m^2
Find the volume of the cone:
r= 7 m
h= 18 m
V= 923.16 m^3
Find the surface area of the cone:
r= 7 m
h= 18 m
l= 19.31 m
S.A.= 578.29 m^2
What happens to the surface area when you cut one of the measurements in half?
The surface area does not get cut in half but does get smaller.
Find the volume of the pyramid:
side = 5 cm
h= 7 cm
V= 58.33 cm^3
Find the surface area of the pyramid:
side = 5 cm
h= 7 cm
l= 12 cm
Find the volume of the cone:
r= 7 mm
h=3 mm
V= 153.86 mm^3
Find the surface area of the cone:
r= 7 mm
h= 3 mm
S.A.= 321.34 mm^2
Where did Ms. Barton graduate college?
Old Dominion University