(a)
To determine : The volume of the original block and the volume of the wood removed as polynomials in factored form.
The volume of the original block is
Given information :
A carpenter hollowed out the interior of a block of wood as shown in the figure.
Formula used:
Volume of cuboid = length
Explanation :
The dimensions of the original block is
So, the volume of the original block will be:
The volume of the wood removed will be:
(b)
To determine : The polynomial that determines the volume of the remaining wood.
The polynomial that determines the volume of the remaining woodis
Given information :
A carpenter hollowed out the interior of a block of wood as shown in the figure.
Formula used:
Volume of cuboid = length
Explanation :
The volume of the original block is:
The volume of the wood removed is:
The volume of the remaining wood will be:
Therefore, the volume of the remaining wood is:
Chapter 5 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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