Page 705 - Basic College Mathematics with Early Integers

Definitions and Concepts Examples

Section 9.3 Perimeter

PERIMETER FORMULAS Find the perimeter of a rectangle with length 28 meters
and width 15 meters.
Rectangle:
#
#
#
#
P = 2 l + 2 w P = 2 l + 2 w
#
#
Square: = 2 28 m + 2 15 m
#
P = 4 s = 56 m + 30 m
= 86 m
Triangle:
P = a + b + c The perimeter is 86 meters.
Circumference of a Circle:
# #
#
C = 2 p r or C = p d,
22
where p L 3.14 or p L
7
Section 9.4 Area
AREA FORMULAS Find the area of a square with side length 8 centimeters.
Rectangle: A = s 2
#
A = l w = 18 cm2 2
Square: = 64 square centimeters
A = s 2 The area of the square is 64 square centimeters.
Triangle:
1
b h
A = # #
2
Parallelogram:
#
A = b h
Trapezoid:
1
#
A = # 1b + B2 h
2
Circle:
A = p r
# 2
Section 9.5 Volume and Surface Area

VOLUME FORMULAS SURFACE AREA FORMULAS 22
Find the volume of the sphere. Use for p.
Rectangular Solid: See page 661. 7
V = l w h
# #
Cube: 4 in.
V = s 3
Sphere:
4 4 # # 3
p r
V = # # 3 V = p r
3 3
Right Circular Cylinder: 4 22 3
L # # 14 inches2
V = p r h 3 7
# 2 #
# #
Cone: 4 22 64
= # cubic inches
1 3 7
p r
V = # # 2 # h 5632 4
3 = or 268 cubic inches Copyright 2012 Pearson Education, Inc.
Square-Based Pyramid: 21 21
1
s
V = # 2 # h
3
682