7/8

TLE-IA-CARPENTRY
Quarter 0 – Module 6

CARRY OUT MEASUREMENTS AND

CALCULATIONS
TLE-IA-Carpentry – Grade 7/8
Alternative Delivery Mode
Quarter 0 – Module 6: Carry out Measurement and Calculations
First Edition, 2020

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 7/8

TLE-IA-CARPENTRY
Quarter 0 – Module 6

CARRY OUT MEASUREMENTS

AND CALCULATIONS
 What I Need to Know

This module was designed and written with you in mind. It is here to help you master
the nature of Carpentry. The scope of this module permits it to be used in many
different learning situations. The language used recognizes the diverse vocabulary
level of students. The lessons are arranged to follow the standard sequence of the
course. But the order in which you read them can be changed to correspond with
the textbook you are now using.

The module is talking about this lesson:

• Lesson 3 – Perform Mensuration and Calculation (Carry out measurement and
calculation)

After going through this module, you are expected to:

1. Calculate board foot of a lumber.
2. Differentiate system of measurements.
3. Answer the conversion of fraction to decimals.

What I Know

Direction: Read each item carefully and use your notebook to write your answers.
As part of your initial activity, you will be challenged to dig deeper on your knowledge
and previous experiences on the topic. Try to diagnose or assess what you already
know about identifying materials and tools applicable to as specific construction job.
Take this test.

Provide the full spelling for the following units of measurements.

1. cm 6. kg

2. mm 7. yd

3. inch 8. ft

4. dm 9. mi

5. m 10. km

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 Lesson Perform Mensuration and
3 Calculation
(Carry out measurement and calculations)

SYSTEM OF MEASUREMENTS

The two (2) systems of measurements are: the English and the Metric System. The
English system originated in England also known as the U.S. customary system of
measurement while the Metric System was developed in France and also known as
the S.I. (International Standard).

What’s In

Job – a piece of work of a definite extent or character for a set of fee

Material – a stuff upon which a thing is made

Quantity – a number, amount in size

Requisition – act of requiring something to be furnished; a written request for

something authorized but not made available automatically

Tongs – grasping devices consisting commonly of two pieces joined at one end by a
pivot or hinged like scissors

Tool – a simple implement, as a hammer, saw, and spade chisel etc. used in work

Work – something made or accomplished

Wipe – to rub with or as if with something soft for cleaning

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 What’s New

Instruction: List down 10 measuring tools on your notebook.

1.
2.
3.
4.
5.
6.
7.
8.
9.
10.

What is It

I. (UNIT OF MEASURES) - LINEAR MEASUREMENT

ENGLISH METRIC
Yard ( yd ) meter
Foot ( ft ) / („ ) decimeter 1/10 meter
Inch (in. ) / (“ ) centimeter 1/ 100 meter
millimeter 1 /1000 meter

II. READING OF MEASUREMENTS

A. Reading the inch

The inch is divided into segments called graduations. Each graduation

represents a measurement in form of a proper fraction. The inch can be divided
into 16, 8, 4 and 2, equal parts.

Note: The illustration is not the actual length of an inch.

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B. Reading the centimeter and millimeter

II. CONVERTING FRACTION TO DECIMAL

In converting fractions to decimals, divide the numerator by its

denominator whether it is proper, improper or mixed fraction.

4
IV. CONVERTING UNITS OF MEASURE

GUIDE TABLE IN UNIT CONVERSION

English to English 1 foot = 12 inches

Metric to Metric 1 meter = 10 decimeter

1 dm = 10 centimeter

English to Metric 1 inch = 2.54 cm

1 inch = 25.4 mm
1 foot = 30.48 cm

Metric to English 1 meter = 3.28 feet

1 meter = 39.37 inches

Sample Solutions in Conversion

A. Foot to inches

3 ft = _________ inches
Solution: Multiply 3ft by 12 inches / ft = 36 inches

B. Inch to feet

48 inches = ________ Feet

Solution: Divide 48 inches by 12 inches / feet = 4feet

C. Centimeter to millimeter

22 cm = ________ millimeters
Solution: Multiply 22 cm by 10 mm / cm = 220mm

D. Inch to centimeter

6 inches = _______ centimeter

Solution: Multiply 6 inches by 2.54 cm / inch = 15.24 cm

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V. TAKING DIMENSIONS

Ways of taking dimensions

1. Measure end to end of stock with a tool.

2. Measure edge to edge with a tool.

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3. Measure outside diameter of a cylindrical object using a caliper.

4. Measure inside diameter with a caliper.

5. Lay-out width

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 CALCULATING BOARDFOOT OF LUMBER

Although the International System (SI) or Metric System had already

superseded the English System of measure, the board foot as a unit of measure
for determining the volume of lumber is still being used by the furniture &
cabinet maker and construction industry. This is because lumbers are sold in
terms of board foot.

A board foot is actually one square foot of lumber of one inch thick.

The formula used in computing board foot is:

Board foot (Bd. Ft.) = T x W x L

12
Where:
T = Thickness in inches
W= Width in inches
L = Length in feet

Note: This formula is being used for sawed wood of commercial dimension.

Example: Compute the board foot of lumber whose dimension is 2” x 4 “x 12”

Step 1. Identify the given data

Given. T = 2”
W = 4”

L = 12‟

Step 2. Determine what is being asked

Find the Bd. Ft. = ?

Step 3. State the formula

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 Formula: Bd. Ft. = T x W x L
12

Step 4. Substitute the given data in the formula, then solve.

Solution:
Bd. Ft. = T x W x L
12

= 2” x 4” x 12 “ 12

= 96/12

= 8 Bd. Ft.

What’s More

Direction: Provide the full spelling for the following units of measurements.

1. cm 6. kg

2. mm 7. yd
3. inch 8. yd

4. dm 9. mi

5. m 10. km

What I Have Learned

Directions: Fill in the blank.

1. The two systems of measurements are the____________.
2. Yard, Foot, and Inch are examples of linear measurements in ____________.
3. cm, dm, mm, and m are examples of linear measurements in ____________.
4. The English system originated in ________ also known as the U.S customary
system of measurement.
5. The Metric system was developed in _____ also known as the S.I.

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 What I Can Do

Direction: Arrange the following ways of taking dimensions.

Write from 1-5 and place your answers on your activity notebook.

___________Lay-out width.

___________Measure outside diameter of a cylindrical object using a caliper.

___________Measure end to end of stock with a tool.

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 ___________Measure edge to edge with a tool.

___________Measure inside diameter with a caliper.

Assessment

I. Compute the number of board feet of a lumber with the following

dimensions

1. 3”x6”x18”
2. 5”x5”x10”
3. 4”x4’x18
4. 2”x4”x12
5. 3”x4”16”

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II. Convert the following fractions to decimals.
6. ¾ =
7. ½ =
8. ¼ =
9. 5/8 =
10. 7/8 =

III. Convert the following measurement to their unit equivalents.

11. 5 ft = _____inch
12. 60 inch =_____feet
13. 10 inch = _____centimeter
14. 5 meter = _____decimeter
15. 8 meter = _____feet

Additional Activities

Direction: Answer the following questions.

1. How many centimeters are there in a 12 inch ruler?
2. How many centimeter are there in 1 foot?
3. 1 inch is equivalent to how many centimeters?
4. 3.28 feet is equivalent to how many meter?
5. 1 meter is equivalent to how many decimeter?

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 13
What I know/ What’s More What I can do
1. centimeter 1. 5
2. millimeter 2. 3
3. inches 31
4. decimeter 4. 2
5. meter 5. 4
6. kilogram
7. yard
8. foot
9. kilogram
10. kilometer
What I have learned Additional Activities
1.English and Metric System 1. 30.45 cm
2.English System 2. 30.48 cm
3.Metric System 3. 2.54 cm
4.England 4. 1m
5.France 5. 10 dm
Assessment
I.
1. 27
2. 20.8
3. 24 III.
4. 8 11. 60 inches
5. 16 12. 5 feet
13. 25.4 cm
II. 14. 50 dm
6. .75 15. 26.24 feet
7. .50
8. 25
9. .0625
10. .0875
Answer Key
References
FELY L. MANUEL & ORLANDO E. MANUEL, Learning Module on Carpentry NC II
(Exploratory Course in Technology and Livelihood Education, Grade7 and Grade 8)

All pictures are taken from Learning Module on Carpentry NC II (Exploratory Course
in Technology and Livelihood Education, Grade 7 and Grade 8)

For inquiries or feedback, please write or call:

Department of Education – Schools Division of Negros Oriental

Kagawasan, Avenue, Daro, Dumaguete City, Negros Oriental

Tel #: (035) 225 2376 / 541 1117

Email Address: negros.oriental@deped.gov.ph
Website: lrmds.depednodis.net