Summary feature
provides an additional
review tool for you
and reinforces key
learning objectives.
Copyright Goodheart-Willcox Co., Inc.
64
Apply and Analyze
1. A contractor is installing a suspended ceiling in an open offi ce area. The area measures
100′ × 50′ .Assuming the ceiling tiles are 24″ × 48″ is no waste, how many tiles
be required to complete the ceiling?
2. Convert 6′ 10″ into centimeters.
3. If refrigerant costs a contractor $80/lb, and the contractor intends to mark the refrigerant
up by 20%, how much will the contractor charge for refrigerant?
Critical Thinking 1. Why is area expressed in square feet, while volume is expressed in cubic feet?
2. Why is it a good idea to estimate the results of calculations prior to actually doing them?
3. What calculations are required to determine how much material is needed to wrap a
section of ductwork with insulation?
62 Print Reading for HVACR
Copyright Goodheart-Willcox Co., Inc.
Summar y
■ The perimeter is the distance around the outer edge of a two-
dimensional area or shape.
■ Area refers to the amount of two-dimensional space bound by the
of a
■ Volume describes the three-dimensional space a particular substance
■ Average is the term used to describe the central value of a particular
set
■ A weighted average is used when the numbers being averaged have on
■ The metric system is a base-10 measurement system used throughout the world, except in the United States.
■ Common units in the metric system include the meter, kilogram, and liter.
■ Word problems are used to translate real-world situations into mathematical expressions that can be solved to provide answers for
those
,
ed have
am, and
to
Copyright Goodheart-Willcox Co., Inc.
63
Chapter
Assessment
Name __________________________________________Date
_________________Cl ass ______________________________Know and Understand
________1. The perimeter of a room that is 15′
× 10′ is ______.
A. 150 ft2
B. 150′
C. 50 ft2
D. 50′ ________2. The area of a piece of property that is
100′ × 150′ is ______.A. 500′
B. 500 ft2
C. 15,000′
D. 15,000 ft2
________3. An 80″
× 96″ area will use about ______
8″ × 8″ fl oor tiles. A. 120
B. 150
C. 180
D. 200 ________4. What is the volume of a three-
dimensional rectangular shape that has
measurements of 5″ × 6″ ×6″? A. 36″
B. 36 in3
C. 180″
D. 180 in3 ________5. What is the volume of a three- dimensional rectangular shape that has
of 6″ × 1′ × 1′? A. 0.5 ft3
B. 5 ft3
C. 8 ft3
D. 10 ft3
________6. What is the volume of a vertical
cylinder that has a diameter of 6″
and a of 1′?
A. 113 in3
B. 226 in3
C. 339 in3
D. 452 in3 ________7. The average value of the following set
of numbers (12, 14, 18, 36) is ______.
A. 12
B. 16
C. 20
D. 25
________8. The length of a yardstick is
approximately equal to ______.
A. 1 cm
B. 50 mm
C. 1 m
D. 1 km ________9. Two miles is equal to approximately
how many meters?
A. 804.5 m
B. 1609 m
C. 3218 m
D. 6436 m ________10. A particular job requires 500 ft
2 of material. If the cost of material is per will the for the job cost if the contractor purchases an additional 20% to account for any waste and
A. $1500
B. $1800
C. $2100
D. $2400
Copyright Goodheart-Willcox Co., Inc. 65
Name __________________________________________Date _________________Class ______________________________
Large Prints Activity
Practice Using Large Prints
Refer to Print-21 in the Large Prints supplement to answer the following questions.
Note: The large prints are created at 50% of their original size. When extracting information
from the print using an architect’s scale, use a scale that is one-half of the one indicated on
the drawing.
1. How many feet of piping would be required to run around the entire TELECOM RM
(h005b), ignoring any doors, windows, or other openings or interruptions in the walls?
2. How many feet of piping would be required to run around the entire ELECTRICAL RM
(h005), ignoring any doors, windows, or other openings or interruptions in the walls?
3. How many cubic feet of air will need to be added to the PLUMBING RM (h005a) each
minute if the air in this room needs to be “changed” 5 times each hour? Assume a ceiling
height of 10′.
Critical Thinking questions
develop higher-order thinking,
problem solving, personal,
and workplace skills.
Know and Understand questions
allow you to demonstrate
knowledge, identifi cation, and
comprehension of chapter material.
Apply and Analyze
questions extend your
learning and help you
to analyze and connect
learning to real-world
applications.
Practice Using Large Prints
activities provide hands-on
opportunities to apply chapter
content to interpreting
professional prints.
provides an additional
review tool for you
and reinforces key
learning objectives.
Copyright Goodheart-Willcox Co., Inc.
64
Apply and Analyze
1. A contractor is installing a suspended ceiling in an open offi ce area. The area measures
100′ × 50′ .Assuming the ceiling tiles are 24″ × 48″ is no waste, how many tiles
be required to complete the ceiling?
2. Convert 6′ 10″ into centimeters.
3. If refrigerant costs a contractor $80/lb, and the contractor intends to mark the refrigerant
up by 20%, how much will the contractor charge for refrigerant?
Critical Thinking 1. Why is area expressed in square feet, while volume is expressed in cubic feet?
2. Why is it a good idea to estimate the results of calculations prior to actually doing them?
3. What calculations are required to determine how much material is needed to wrap a
section of ductwork with insulation?
62 Print Reading for HVACR
Copyright Goodheart-Willcox Co., Inc.
Summar y
■ The perimeter is the distance around the outer edge of a two-
dimensional area or shape.
■ Area refers to the amount of two-dimensional space bound by the
of a
■ Volume describes the three-dimensional space a particular substance
■ Average is the term used to describe the central value of a particular
set
■ A weighted average is used when the numbers being averaged have on
■ The metric system is a base-10 measurement system used throughout the world, except in the United States.
■ Common units in the metric system include the meter, kilogram, and liter.
■ Word problems are used to translate real-world situations into mathematical expressions that can be solved to provide answers for
those
,
ed have
am, and
to
Copyright Goodheart-Willcox Co., Inc.
63
Chapter
Assessment
Name __________________________________________Date
_________________Cl ass ______________________________Know and Understand
________1. The perimeter of a room that is 15′
× 10′ is ______.
A. 150 ft2
B. 150′
C. 50 ft2
D. 50′ ________2. The area of a piece of property that is
100′ × 150′ is ______.A. 500′
B. 500 ft2
C. 15,000′
D. 15,000 ft2
________3. An 80″
× 96″ area will use about ______
8″ × 8″ fl oor tiles. A. 120
B. 150
C. 180
D. 200 ________4. What is the volume of a three-
dimensional rectangular shape that has
measurements of 5″ × 6″ ×6″? A. 36″
B. 36 in3
C. 180″
D. 180 in3 ________5. What is the volume of a three- dimensional rectangular shape that has
of 6″ × 1′ × 1′? A. 0.5 ft3
B. 5 ft3
C. 8 ft3
D. 10 ft3
________6. What is the volume of a vertical
cylinder that has a diameter of 6″
and a of 1′?
A. 113 in3
B. 226 in3
C. 339 in3
D. 452 in3 ________7. The average value of the following set
of numbers (12, 14, 18, 36) is ______.
A. 12
B. 16
C. 20
D. 25
________8. The length of a yardstick is
approximately equal to ______.
A. 1 cm
B. 50 mm
C. 1 m
D. 1 km ________9. Two miles is equal to approximately
how many meters?
A. 804.5 m
B. 1609 m
C. 3218 m
D. 6436 m ________10. A particular job requires 500 ft
2 of material. If the cost of material is per will the for the job cost if the contractor purchases an additional 20% to account for any waste and
A. $1500
B. $1800
C. $2100
D. $2400
Copyright Goodheart-Willcox Co., Inc. 65
Name __________________________________________Date _________________Class ______________________________
Large Prints Activity
Practice Using Large Prints
Refer to Print-21 in the Large Prints supplement to answer the following questions.
Note: The large prints are created at 50% of their original size. When extracting information
from the print using an architect’s scale, use a scale that is one-half of the one indicated on
the drawing.
1. How many feet of piping would be required to run around the entire TELECOM RM
(h005b), ignoring any doors, windows, or other openings or interruptions in the walls?
2. How many feet of piping would be required to run around the entire ELECTRICAL RM
(h005), ignoring any doors, windows, or other openings or interruptions in the walls?
3. How many cubic feet of air will need to be added to the PLUMBING RM (h005a) each
minute if the air in this room needs to be “changed” 5 times each hour? Assume a ceiling
height of 10′.
Critical Thinking questions
develop higher-order thinking,
problem solving, personal,
and workplace skills.
Know and Understand questions
allow you to demonstrate
knowledge, identifi cation, and
comprehension of chapter material.
Apply and Analyze
questions extend your
learning and help you
to analyze and connect
learning to real-world
applications.
Practice Using Large Prints
activities provide hands-on
opportunities to apply chapter
content to interpreting
professional prints.