Pre AP Geometry Unit 4 – Measurement in Two and Three Dimensions
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Question 1 of 19
1. Question
Find the area of the sector, rounding your answer to 1d.p.
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Question 2 of 19
2. Question
A sector with a central angle measure of 175° has a radius of 12cm.
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Question 3 of 19
3. Question
For each of the following similar shapes, find the unknown area:
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Question 4 of 19
4. Question
A masonry crew is laying a garden feature made out of bricks that are in the shape of an equilateral triangle. The area of each brick is 4 square inches. The finished floor is a similar triangle that is dilated by a scale factor of 16. What is the area of the finished floor?
What is the area of the finished floor?
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Question 5 of 19
5. Question
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Question 6 of 19
6. Question
What is the volume of this prism?
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Question 7 of 19
7. Question
Find the volume of the figure.
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Question 8 of 19
8. Question
Choir is selling Pringle Chips to raise money for a field trip. The container has a diameter of 9 inches and a height of 32 inches.
Which equation can be used to find the volume of the container?
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Question 9 of 19
9. Question
What shape will the horizontal crosssection of a cone be?
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Question 10 of 19
10. Question
Consider the following right pyramid and right prism. Both figures have a base that is a regular pentagon.
Heidi tried to use Cavalieri’s principle to show that the two figures have the same volume.
“The base areas are the same. Therefore, corresponding crosssections have the same area. The figures have the same height. So the volumes must be the same.”
What is the first mistake Heidi made?
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Question 11 of 19
11. Question
The following figures all have the same height and same base area.
For which of the figures can we apply Cavalieri’s principle to show they have the same volume?
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Question 12 of 19
12. Question
A cereal box is 12 cm tall. The area of the base is 7 cm. What is the volume?
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Question 13 of 19
13. Question
Michael has a very large soup pot shaped like a cylinder that has a height of 15 inches and a radius of 6 inches. How much soup can Michael’s soup pot hold?
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Question 14 of 19
14. Question
Soda is sold in aluminum cans that measure 6 inches in height and 2 inches in diameter. How many cubic inches of soda are contained in a full can?
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Question 15 of 19
15. Question
Lucas found a punctured bouncy ball in his basement. He wants to know how much air used to fill up the entire ball. The diameter of the ball is 6 in. Find the volume. Use 3.14 for π.
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Question 16 of 19
16. Question
What is the surface area?
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Question 17 of 19
17. Question
What is the surface area of a composite figure of a cone and a sphere, both with a radius of 5 cm, if the height of the cone is 12 cm? Consider an ice cream cone as an example of the composite figure, where half of the sphere is above the edge of the cone.
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Question 18 of 19
18. Question
What is this formula used to find?
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Question 19 of 19
19. Question
Jack wants to know how much water a sphere can hold with a radius of 8 cm. Find the volume. Use 3.14 for pi.
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