Concept explainers
To find: the prism which is not similar to the other three prisms.
Answer to Problem 29STP
The prism
Explanation of Solution
Given:
Prism | Length | Width | Height |
Calculation:
The objective is to find the prism which is not similar to other three prisms.
Two solid figures are similar if they have the same shape and their corresponding linear measurements are proportional.
The prisms in the table are rectangular prism, so they are of same shape.
Now, check the corresponding linear measurements of prisms are proportional or not.
The table below shows the ratio of the corresponding linear measurement.
Take the prism
Suppose they are proportional.
Since the result is false, so the corresponding linear measurements of prism
Next take the prism
Suppose the length and widths are proportional
Since the result is true, so the corresponding linear measurements of prism
Again, the length and height are proportional
Since the result is true, so the corresponding linear measurements of prism
Next take the prism
Suppose the length and widths are proportional.
Since the result is true, so the corresponding linear measurements of prism
Again, the length and height are proportional
Since the result is true, so the corresponding linear measurements of prism
Therefore, the prism
Conclusion:
Therefore, the prism
Chapter 12 Solutions
Pre-Algebra Student Edition
Additional Math Textbook Solutions
Algebra and Trigonometry
Elementary and Intermediate Algebra
Intermediate Algebra (7th Edition)
Introductory and Intermediate Algebra for College Students (5th Edition)
College Algebra in Context with Applications for the Managerial, Life, and Social Sciences (5th Edition)
Differential Equations and Linear Algebra (4th Edition)
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education