a.
To explain that the expressions for volume and surface area are monomials
a.
Answer to Problem 36SR
Yes, the expressions for volume and surface area are monomials because each is the product of variables and a real number.
Explanation of Solution
Given information:
The side length of the cube is represented as
The volume of the cube is represented as
The surface area of the cube is represented as
Yes, the expression for volume is monomial because this expression is the product of variables. And the expression for surface area is also monomial because it is a non-linear expression since the exponent is a positive number other than 1.
Therefore, both the expression, volume and surface area of cube are monomial because each is the product of variables and a real number.
b.
To calculate the volume and surface area of the cube
b.
Answer to Problem 36SR
The volume of the cube is
Explanation of Solution
Given information:
The side of the cube measures 3 feet
The volume of the cube is calculated as,
The surface area of the cube is calculated as,
Therefore, the volume of the cube is
c.
To calculate the side length
c.
Answer to Problem 36SR
The side length of the cube is
Explanation of Solution
Given information:
The volume and surface area of the cube have the same measure
Calculation:
Since the volume and the surface area of the cube have same measure so its side length is calculated as,
Therefore, the side length of the cube is
d.
To calculate the ratio of volume of two cylinders
d.
Answer to Problem 36SR
The ratio of volume of two cylinders is
Explanation of Solution
Given information:
The volume of the first cylinder is
The volume of the second cylinder is
Calculation:
The ratio of the first and second cylinder can be obtained as,
Therefore, the ratio of volume of two cylinders is
Chapter 12 Solutions
Algebra 1
Additional Math Textbook Solutions
College Algebra
Linear Algebra and Its Applications (5th Edition)
College Algebra (7th Edition)
Elementary Algebra
- 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