To find: The volume of a right triangular prism.
The volume of the prism is
Given data:
The base of a right triangular prism has sides of length 8 cm, 10 cm, and 13 cm. The height of the prism is 5 cm.
Method/Formula used:
The volume of the prism is product of the area of the base and height.
The angle A of a
The area
Calculations:
The right triangular prism has sides of length 8 cm, 10 cm, 13 cm, and height 5 cm shown in Fig.1,
Denote sides of triangular base of the prism as: c equals 8 cm, side a equals 10 cm and side b as 13 cm.
Substitute 13 for b , 8 for c and 10 for a in the result (1), the angle A is,
Substitute
Therefore, the area of the triangular base ABC of the prism is
Substitute 13 for b , 8 for c and 0.7689 for
Thus, area of the base of prism is
Therefore, the volume V of the prism is,
Substitute 40 cm2 as the area of the base and 5 cm the height of the prism,
The volume of the prism is
Chapter 9 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
- 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