
Grade 8 | Unit 5 | Lesson 18: Scaling Two Dimensions | Practice Problems
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Mathematics
6th Grade

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10 questions
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1.
OPEN ENDED QUESTION
3 mins • 1 pt
There are many cylinders with a height of 18 meters. Let \(r\) represent the radius in meters and \(V\) represent the volume in cubic meters. Write an equation that represents the volume \(V\) as a function of the radius \(r\).
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2.
OPEN ENDED QUESTION
3 mins • 1 pt
Complete this table, giving three possible examples:
| \(r\) | \(V\) |
|---|---|
| 1 |
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3.
OPEN ENDED QUESTION
3 mins • 1 pt
If the radius of a cylinder is doubled, does the volume double? Explain how you know. Is the graph of this function a line? Explain how you know.
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4.
OPEN ENDED QUESTION
3 mins • 1 pt
As part of a competition, Diego must spin around in a circle 6 times and then run to a tree. The time he spends on each spin is represented by \(s\) and the time he spends running is \(r\). He gets to the tree 21 seconds after he starts spinning. Write an equation showing the relationship between \(s\) and \(r\).
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5.
OPEN ENDED QUESTION
3 mins • 1 pt
Rearrange the equation so that it shows \(r\) as a function of \(s\).
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6.
OPEN ENDED QUESTION
3 mins • 1 pt
If it takes Diego 1.2 seconds to spin around each time, how many seconds did he spend running?
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7.
OPEN ENDED QUESTION
3 mins • 1 pt
The table and graph represent two functions. Use the table and graph to answer the questions.
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