To state: The dimensions of a jewelry box if this cube shaded jewelry box has a surface area of 300 square inches.
The resultant dimensions of the cube are inches.
Given information:
The given surface area is 300 square inches.
Explanation:
Consider the given surface area of the cube:
Surface area of jewelry box: 300 Square inches
Total surface area of cube:
Assume the length of an edge of cube is x .
Then the total surface area will become:
Therefore,
It can also be written as:
Now solve for x ,
Therefore, the area of one square face is
It is known that the side length of the cube is the square root of the area of one face of the cube.
The length of the side length is
Therefore, the dimensions of the jewelry box are:
Chapter 1 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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