Copyright Goodheart-Willcox Inc. May not be reproduced or posted to a publicly accessible website.website. Copyright Goodheart-Willcox Co., Inc. M
ay not be reproduced or posted to a public
accessible
Name _________________________________
Date
_____________
Class _____________
Unit 15 Review
181
Identify the lineal measurements on the rule shown below.
6 5
1 2 34
1 2 3 4 5 6
Goodheart-Willcox Publisher
1. ________________________________________
2. ________________________________________
3. ________________________________________
4. ________________________________________
5. ________________________________________
6. ________________________________________
Identify the lineal measurements on the rule shown below. Express your answers in feet
and inches.
F
36 33 37
1
8 93
38
2
39
3
32
STUD
7 8
9
10 11
12
Goodheart-Willcox Publisher
7. ________________________________________
8. ________________________________________
9. ________________________________________
10. ________________________________________
11. ________________________________________
12.
Unit15.in
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268
Section 5 Percentages and Right Angles
Copyright Goodheart-Willcox Co., Inc. May not be reproduced or posted to a publicly accessible website.
When using the Pythagorean theorem to determine the hypotenuse of a right
triangle, often the length of the hypotenuse will contain a decimal (23.74593 ′
). The
whole number represents feet and the numbers to the right of the decimal represent
decimal equivalents in feet. In the construction trades, this type of an answer cannot
be used in its present form since .74593′
cannot be located on a standard tape measure.
When this occurs, the decimal equivalents in feet need to be converted to feet and
inches. This process was covered in Unit 15,
Linear Measurement.
Carpentry Notes
Estimating Stair Carriage Lengthdeck,
During the construction of a home, a or any structure that requires stairs, the
carpenter must lay out, cut, and install the stair carriages that will support the treads
and risers. To determine what length of stock would be suitable for the carriages shown
below, the Pythagorean theorem is used.
108
″
140″
Goodheart-Willcox Publisher
The first step is to convert the inches to decimal equivalents of a foot.
Total rise 108″
= 9′
Total run 140″
= 11′ 8″
= 11.666′
Viewing the staircase as a right triangle, the carriage becomes the hypotenuse.
The total rise and total run are inserted into the Pythagorean theorem as the sides.
c² =
a² + b²
c²
= 9²
+ 11.666²
c²
= 81 + 136.095556
c²
= 217.095556
Now determine the square root of the sum to find the value of c.
c = √c²
c =
√217.095556
c
= 14.734′
The hypotenuse of
14.734′lumber
does not need to be converted from decimal equivalents
in feet to fractions because is purchased in even lengths
(12′,and′,installetc.).
14
16′,
Accounting for angles and waste, 16′
material will be required to cut the
stair carriages.
U
nit21.indd 26
8
11/2
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36 AM 11/29/2017 11:28:36 A
C Cop yri ght G dh Will CCo.,, Goodheart- Willcox Co.
Inc. M ay not be repr
oduced or p osted to a pu ub b bl liicly c ly
12. ________________________________________________________________________________
Copyright Goodheart-Willcox Co., Inc. May not be reproduced or posted to a publicly accessible website.
Name _________________________________
Date
_____________
Class
_____________
53
Section 1 Exam
Use the number 6,381,947 to answer questions 1–3.
1. Which digit is in the hundreds place?
________________________________________
2. Which digit is in the ten thousands place?
________________________________________
3. In which place value is the 3?
________________________________________
4. Round 319,462 to the thousands place value.
________________________________________
5. Three carpenters cut 16 deck posts to a length of 67″.
Identify the denominate number.
________________________________________
6. 47″ + 52″
+ 143″ =
7. 73 sq ft + 39 sq ft + 177 sq ft + 348 sq ft =
8. 458 yd + 145 yd + 227 yd + 98 yd =
9. 323 sq ft
– 268 sq ft
‾
Unit05.indd 53
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:49:16 PM
vii
Carpentry Notes explore industry situations
and the math needed to solve problems on
the job.
Unit Reviews allow you to
demonstrate knowledge and
comprehension of unit material.
Section Exams test retention
of knowledge gained throughout
units of each section.