Lesson 11
Slicing Solids
Problem 1
A cube is cut into two pieces by a single slice that passes through points \(A\), \(B\), and \(C\). What shape is the cross section?
Solution
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Problem 2
Describe how to slice the three-dimensional figure to result in each cross section.
Three-dimensional figure:
Cross sections:
Solution
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Problem 3
Here are two three-dimensional figures.
Describe a way to slice one of the figures so that the cross section is a rectangle.
Solution
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Problem 4
Each row contains the degree measures of two supplementary angles. Complete the table.
measure of an angle | measure of its supplement |
---|---|
\(80^\circ\) | |
\(25^\circ\) | |
\(119^\circ\) | |
\(x\) |
Solution
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(From Unit 7, Lesson 2.)Problem 5
Two months ago, the price, in dollars, of a cell phone was \(c\).
- Last month, the price of the phone increased by 10%. Write an expression for the price of the phone last month.
- This month, the price of the phone decreased by 10%. Write an expression for the price of the phone this month.
- Is the price of the phone this month the same as it was two months ago? Explain your reasoning.
Solution
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(From Unit 4, Lesson 8.)