To calculate : The area of a face of the given cube and the volume of the cube.
The area of a face of the given cube is
Given information :
The side length of a cube is given by the expression
Formula used:
Binomial Theorem: Pascal's
Where
Area of a face of a cube
Volume of cube
Calculation :
Side of the cube is
So, the area of a face of the cube will be
The volume of the cube will be
To expand the binomial
Apply Binomial Theorem to expand
To expand the binomial
Therefore, the area of a face of the given cube is
Chapter 5 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
- 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
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