(a)
To find: The dimension of small, medium and large boxes.
(a)
Answer to Problem 8.7.1.1P
Dimension of extra-large boxes:
Volume of extra-large boxes:
Dimension of small boxes:
Dimension of medium boxes:
Dimension of large boxes:
Explanation of Solution
Given: The volume of small boxes is represented by
The volume of medium boxes is represented by
The volume of large boxes is represented by
For small boxes:
Factor the cubic polynomial:
Dimension of small boxes:
For medium boxes:
Factor the cubic polynomial:
Dimension of medium boxes:
For Large boxes:
Factor the cubic polynomial:
Dimension of large boxes:
Using above patter the dimension of extra-large boxes:
Volume of extra-large boxes:
(b)
To find: The area of small, medium and large boxes.
(b)
Answer to Problem 8.7.1.1P
Area of small boxes:
Area of medium boxes:
Area of large boxes:
Area of extra-large boxes is
Explanation of Solution
Given: The volume of small boxes is represented by
The volume of medium boxes is represented by
The volume of large boxes is represented by
Dimension of small boxes:
Area of small box:
Area
Dimension of medium boxes:
Area =
Dimension of large boxes:
Area =
Using patter of area of boxes.
Area of extra-large boxes is
(c)
To find: The volume of extra large boxes.
(c)
Answer to Problem 8.7.1.1P
Volume of extra-large boxes:
Explanation of Solution
Given: The volume of small boxes is represented by
The volume of medium boxes is represented by
The volume of large boxes is represented by
Area of extra-large boxes is
Volume of box is length times width times height.
Area =
So, volume is
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Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
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