Cesar A. Vazquez
LATEX
Surface Area and Volume for Solids
Cone
V = 13 πr2 h
Slant Height
S.A. = πrl + πr2
l
h
r
Sphere
V = 43 πr3 =
4πr 2
3
S.A. = 4πr2
r
Pyramid
V = 13 Bh =
Bh
3
S.A. = 12 pl + B
B is the Area of the base
h is the height from the center
l is the slant height
p is the perimeter of the base
Slant Height
h
l
1
Cesar A. Vazquez
LATEX
Prism
V = Bh
S.A. = ph + 2B
B is the Area of the base
h is the height
p is the perimeter of the base
h
Cylinder
V = πr2 h
r
S.A. = 2πrh + 2πr2
h
Remember, for regular polygons...
p = xn
p is the perimeter
x is the length of one side
n is the number of sides of the polygon
x
s
diu
ra
apothem
A = 12 ap
p is the perimeter
a is the apothem
Also... If they mention the radius of a regular polygon, what they mean is the distance from the center to
a vertex.
2