Determining the Appropriate Type of

Measure

PSSA Coach Lesson 13

PA Standards

B.2.2.3 Determine the appropriate type of measurement (circumference, perimeter, area, surface area, volume) for a given situation (e.g., which measurement is needed to determine the amount of carpeting for a room).

ll Perimeter Perimeter and and circumference circumference are the distance around a are the distance around a figure. they are measured in units of length, such as feet figure. they are measured in units of length, such as feet or centimeters.or centimeters.

** Area Area is the region that a two-dementional figure covers is the region that a two-dementional figure covers or encloses. It is measured in square units, such as or encloses. It is measured in square units, such as square inches (or insquare inches (or in22). ).

4m

4m

6m

4m

A = L x WA = L x W

P = 2L + 2WP = 2L + 2W

ll Surface area Surface area is the total area of the surfaces of a three-is the total area of the surfaces of a three-dementional figure. Like area, it is measured in square dementional figure. Like area, it is measured in square units. units.

** Volume Volume is the amount of space a three-dementional figure is the amount of space a three-dementional figure encloses. It is measured in cubic units, such as cubic feet encloses. It is measured in cubic units, such as cubic feet or (ftor (ft33). ).

V = L x W x HV = L x W x H

Ashanti is putting a fence around her Ashanti is putting a fence around her 20-foot by 30-foot back yard. How much 20-foot by 30-foot back yard. How much fencing does she need?fencing does she need?

Example 1:

Pete is carpeting his 8-foot by 12-foot Pete is carpeting his 8-foot by 12-foot dining room. How much carpet does he need?dining room. How much carpet does he need?

Example 2:

Example 3:

Imelda is covering a 6-inch by 8-inch by Imelda is covering a 6-inch by 8-inch by 14-inch box with wrapping paper. How 14-inch box with wrapping paper. How much paper does she need?much paper does she need?

Example 4:

Tyrese is filling his 15-meter by 8-meter by 3-meter Tyrese is filling his 15-meter by 8-meter by 3-meter pool with water. How much water does he need to fill the pool with water. How much water does he need to fill the pool? pool?

Lana wants to know how many boxes of paperclips Lana wants to know how many boxes of paperclips she can ship in a packing box. Which measure she can ship in a packing box. Which measure should she use to solve the problem?should she use to solve the problem?

Perimeter

area

surface area

volume

Josie is building a thin picture frame around a painting. She needs to know how much wood to cut for the frame. Which measure should she use to solve this problem?

perimeter

area

surface area

volume

Diego is wrapping the outside of his garage with insulation. He needs to know how much insulation to buy. Which measure should he use to solve this problem?

perimeter

area

surface area

volume

Mike is filling a window fram with glass. He needs to know how much glass will fill the frame. Which measure should he use to solve this problem?

perimeter

area

surface area

volume

Bret is building a trunk to store his clothes. It has these dimensions. How much wood should bret buy to build the trunk?

11 ft2

44 ft2

52 ft2

80 ft2

3 ft

4 ft

2 ft

Kara is framing a photograph that measures 8in by 10 in. How much metal framing does she need to frame the picture?

18 in

36 in

80 in2

160 in2

How much glass does Kara need to cover the photgraph in question 6?

Kara is framing a photograph that measures 8in by 10 in. How much metal framing does she need to frame the picture?

18 in

36 in

80 in2

160 in2

The utility sink in Don's basement meaures 1m by 0.5m by 0.5m. How much water will it hold?

0.25 m3

2 m3

2.5 m3

1.25 m2

Krista is putting a fence around her yard. The yard is a square measuring 3m on each side. It will have an opening for a gate that measures 0.4m. She will not fence the gate opening. How much fencing does Krista need?

0.12 m

2.6 m

10.4 m

11.6m

3m

Malik's rectangular bathroom measures 10 feet by 12 feet. He is tiling the floor with 2-foot by 2-foot tiles. How many tiles does he need?

30

60

120

240