Algebra 1 Common Core Student Edition, Grade 8-9

Handb

For Exercises 1-2, find the perim eter of each figure. For Exercises 3-4, find the

area of each figure. For Exercises 5-7, find the volum e o f each figure.

Find the perim eter of each figure.

Use the formula P = 2 i +

P = 2(3) + 2(4)

= 6 + 8 = 14

4 cm I h e p erim e te r is 14 cm.

Add th e m easures of th e sides.

3 + 4 + 5 = 12

The p erim e te r is 12 in. r

.1

Use th e form ula V = irr2h.

V = 3.14 • 2 2 • 5

= 3.14 • 4 • 5 = 62.8 in.3

The volum e is 62.8 in.3.

Ex a m p l e 3

Find the volum e o f each figure.

Use th e form ula V = Bh.

6 in, B = area of th e base

= 3 • 5 = 15

, V= 15 • 6 = 90 in.3

5 jn The volum e is 90 in.3.

Ex e r c i se s

Use th e form ula A = \[bh).

A = | (7 • 6 ) = 21

The area is 21 in.2.

Ex a m p l e 2

Find the area o f each figure.

Use th e form ula A = bh.

A = 6 • 5 = 30

6 in. The area is 30 in .2.

Per i m et er , A r e a , an d Vo l u m e

1 1 " \

The p erim e te r of a figure is the distance a ro u n d th e figure. The area of a figure is the

n u m b e r of square units contained in th e figure. The volum e of a three-dim ensional

figure is the n u m b e r of cubic units co n tain ed in th e figure.

Ex a m p l e 1

2 w.

,,