10 ft Front view Figure 13.19 10 ft man e 1A/1 89 M 15. A volume problem: The front and back of a storage shed are shaped like isosceles right triangles with two sides of length 10 ft, as shown on the left of Figure 13.19. The storage shed is 40 ft long. Determine the vol- ume of the storage shed. Qing solves the volume problem as follows: First, he uses the Pythagorean theorem to deter- mine that the length of the unknown side of the triangle shown at the left is √200 ft long. Then, 40 ft Side view
10 ft Front view Figure 13.19 10 ft man e 1A/1 89 M 15. A volume problem: The front and back of a storage shed are shaped like isosceles right triangles with two sides of length 10 ft, as shown on the left of Figure 13.19. The storage shed is 40 ft long. Determine the vol- ume of the storage shed. Qing solves the volume problem as follows: First, he uses the Pythagorean theorem to deter- mine that the length of the unknown side of the triangle shown at the left is √200 ft long. Then, 40 ft Side view
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
Related questions
Question
Transcribed Image Text:Qing uses the Pythagorean theorem again to calcu-
late the height of the triangle h if the base is the side
of length √200. Qing carries this out as follows:
200 2
2
h² = 100
+ h² = 10²
200
4
= 100 50 = 50
h = √50
Next, Qing determines that the floor area of the
storage shed is
40. √/200
square feet. Finally, Qing calculates that the volume
of the storage shed is given by the floor area of the
shed times the height of the triangle:
40. √/200-√/50
a. Is Qing's method of calculation correct? Discuss
Qing's work. Which parts (if any) are correct;
which parts (if any) are incorrect?
b. Solve the volume problem in a different way
than Qing did, explaining your reasoning.
Transcribed Image Text:reading m
10 ft
Front view
Figure 13.19
10 ft
man e ju
1111 89 H
15. A volume problem:
The front and back of a storage shed are shaped
like isosceles right triangles with two sides of
length 10 ft, as shown on the left of Figure 13.19.
The storage shed is 40 ft long. Determine the vol-
ume of the storage shed.
Qing solves the volume problem as follows:
First, he uses the Pythagorean theorem to deter-
mine that the length of the unknown side of the
triangle shown at the left is √200 ft long. Then,
40 ft
Side view
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning