Page 684 - Basic College Mathematics with Early Integers

S E C T I O N 9.5 I VOLUME AND SURFACE AREA 661

Formulas for finding the volumes, V, and surface areas, SA, of some common
solids are given next.

Volume and Surface Area Formulas of Common Solids
Solid Formulas

RECTANGULAR SOLID
V = lwh
height SA = 2lh + 2wh + 2lw
where h = height, w = width, l = length
width
length
CUBE
V = s 3
SA = 6s 2
side
where s = side
side
side
SPHERE
4 3
radius V = pr
3
SA = 4pr 2
where r = radius

CIRCULAR CYLINDER

V = pr 2 h
height
SA = 2prh + 2pr 2
where h = height, r = radius

radius
CONE
1 2
V = pr h
height 3
2
2
SA = pr2r + h + pr 2
where h = height, r = radius
radius
SQUARE-BASED PYRAMID
1
slant V = s 2 h
height height 3
1
SA = B + pl
2
where B = area of base, p = perimeter of base,
h = height, s = side, l = slant height
side