Volume & surface area of solid figures – sphere, cube, rectangular solid (box) with and without
top, cylinder, and cone.
Figure Volume Surface Area
Sphere
3
4
3
Vr
π
=,
r radius
2
4Sr
π
=,
r radius
Cube
3
Vs=, s side 2
6Ss=, s side
Rectangular Solid
2
VAh=, is area of the
base, h height.
2
A
Vlwh=, l length, w width, h
height.
222
2( )
Slwlhw
lw lh wh
h
=
++
=++
l length, w width, h height.
Cylinder
2
Vr
π
=h, r radius, h height 2
&
22
top bottom lateral side
Sr rh
ππ
=+
Prisms: Parallel flat
polygon top and bottom
(bases).
2
VAh=, is area of the
base, h height.
2
ACalculus topic – to come
Pyrimids (polygon base to a
point)
1
3
VA
h=A
, is area of the
base, h height.
Calculus topic – to come
2
1
3
Vr
π
=h
, r is the radius of
the circular base, h height
22
total basearea lat eral area
Srrr
ππ
=++
2
h,
22
rh+ is slant height
