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Functions & Volume Problem Solving Assessment

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Last updated over 5 years ago
14 questions
Look through the 4 problems below: The Glasses Problem, Rolled Oats, Snow Cones, Golf and Tennis Balls.

Choose ONE of the problems to complete as your problem solving assessment. Show all of your working out. Explain your thinking, and clearly state your answer for all questions that are part of the problem you chose.

Your work will be assessed for knowledge and understanding, communication, and problem solving.
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Question 1
1.

Find the height of the cone of glass 3.

Show your work. Explain your thinking. Clearly state your answer. You may upload a picture of working out on paper if you prefer.

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Question 2
2.

Calculate the volume of each of the 3 glasses. Show your work. Explain your thinking. Clearly state your answer. You may upload a picture of working out on paper if you prefer.

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Question 4
4.

What is the surface area of the box needed to ship these containers to the grocery store that uses the least amount of cardboard?

Show your work. Explain your thinking. Clearly state your answer.You may upload a picture of working out on paper if you prefer.

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Question 5
5.

What is the volume of this box?

Show your work. Explain your thinking. Clearly state your answer. You may upload a picture of working out on paper if you prefer.

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Question 6
6.

How much juice can cup A hold?

Show your work. Explain your thinking. Clearly state your answer. You may upload a picture of your working out on paper if you prefer

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Question 12
12.

The radius of one tennis ball is 1.3 inches. How much air space ins in the cylinder around the tennis balls?

Show your work. Explain your thinking. Clearly state your answer. You may upload a picture of your working out on paper if you prefer

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Question 13
13.

The volume of the square prism is 192 cm cubed. What is the diameter of one golf ball?

Show your work. Explain your thinking. Clearly state your answer. You may upload a picture of your working out on paper if you prefer

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Question 3
3.

glass 2 is filled with water. Then half the water is poured out. Find the height of the water. Show your work. Explain your thinking. Clearly state your answer. You may upload a picture of working out on paper if you prefer.

Question 7
7.

How much juice can cup B hold?

Show your work. Explain your thinking. Clearly state your answer. You may upload a picture of your working out on paper if you prefer.

Question 8
8.

By what percentage is the volume of cup B larger than the volume of cup A?

Show your work. Explain your thinking. Clearly state your answer. You may upload a picture of your working out on paper if you prefer.

Question 9
9.

Snow cones have ice filling the cup as well as a hemishpere of ice sticking out of the top of each cup. How much ice is in the snow cone for each cup?
Show your work. Explain your thinking. Clearly state your answer. You may upload a picture of your working out on paper if you prefer

Question 10
10.

By what percentage is the snow cone in cup B larger than the snow cone in the cone shaped cup A. Show your work. Explain your thinking. Clearly state your answer. You may upload a picture of your working out on paper if you prefer

Question 11
11.

Is Pablo's sign accurate? Why or why not?

Question 14
14.

How much air space is in the square prism around the golf balls?

Show your work. Explain your thinking. Clearly state your answer. You may upload a picture of your working out on paper if you prefer.