Open Up - Grade 8 - Mathematics - Unit 5 - Lesson 20
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Last updated about 3 years ago
13 Questions
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Question 1
1.
Match the description of each sphere to its correct volume.
36πcm3
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Sphere A: radius of 4 cm
288πcm3
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Sphere B: diameter of 6 cm
\frac{256}{3}πcm3
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Sphere C: radius of 8 cm
\frac{2048}{3}πcm3
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Sphere D: radius of 6 cm
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Question 2
2.
Match the description of each sphere to its correct volume.
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Question 3
3.
A cube’s volume is 512 cubic units. What is the length of its edge?
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Question 4
4.
If a sphere fits snugly inside the cube from question 3, what is its volume?
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Question 5
5.
What fraction of the cube from question 3 is taken up by the sphere from question 4?
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Question 6
6.
Sphere A has radius 2 cm.
Calculate the Spehere volume.
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Question 7
7.
Sphere B has radius 4 cm.
Calculate the Spehere volume.
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Question 8
8.
Sphere A has radius 2 cm. Sphere B has radius 4 cm
The radius of Sphere B is double that of Sphere A. How many times greater is the volume of B?
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Question 9
9.
Three cones have a volume of 192π cm3. Cone A has a radius of 2 cm. Cone B has a radius of 3 cm. Cone C has a radius of 4 cm.
Find the height of each cone.
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Question 10
10.
The graph represents the average price of regular gasoline in the United States in dollars as a function of the number of months after January 2014.
How many months after January 2014 was the price of gas the greatest?
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Question 11
11.
The graph represents the average price of regular gasoline in the United States in dollars as a function of the number of months after January 2014.
Did the average price of gas ever get below $2?
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Question 12
12.
The graph represents the average price of regular gasoline in the United States in dollars as a function of the number of months after January 2014.
Describe what happened to the average price of gas in 2014.
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Question 13
13.
While conducting an inventory in their bicycle shop, the owner noticed the number of bicycles is 2 fewer than 10 times the number of tricycles. They also know there are 410 wheels on all the bicycles and tricycles in the store. Write and solve a system of equations to find the number of bicycles in the store.
"Source: Open Up Resouces (Download for free at openupresources.org.)"