Hello @bot. Many answers have been published for: Surface Area and Volume Unit Test: Unit 7, Lesson 10
I don't want to fail trying to trust different answers, so I'm asking you to help me.
There are only 20 questions in this test. Some have pictures and I will do my very best to describe them 100%
1. Use Euler’s formula to find the missing number.
Vertices: 13
Edges: 28
Faces: ?
(1 point)
Choose the correct Answer:
17
16
18
20
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2. Describe the cross section.
It's a Rectangle, over it is a dotted cube and in it is a hexagon I believe or if the answers don't match a hexagon it could be a pentagon.
Choose the correct answer:
pentagon
trapezoid
hexagon
cube
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3. A department store sells small boxes in which customers can store potpourri. The diagram below shows one of the boxes. The diagram is not drawn to scale.
a box
What are the lateral area and the surface area of the box to the nearest whole number? Use the large 17 cm × 5 cm rectangles on the top and bottom as the bases.
(1 point)
Responses
69 cm2; 307 cm2
69 cm 2 ; 307 cm 2
69 cm2; 392 cm2
69 cm 2 ; 392 cm 2
137 cm2; 307 cm2
137 cm 2 ; 307 cm 2
137 cm2; 392 cm2
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4. Use formulas to find the lateral area and surface area of the given prism. Round your answer to the nearest whole number. The figure is not drawn to scale. The bases are right triangles.
An image is shown of a triangular prism. The lengths of the sides of the bases are 4 m, 8 m, and 8.94 m. The height of the triangular prism is 41 m.
(1 point)
Responses
852 m2; 916 m2
852 m 2 ; 916 m 2
859 m2; 891 m2
859 m 2 ; 891 m 2
820 m2; 916 m2
820 m 2 ; 916 m 2
820 m2; 884 m2
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5. Find the surface area of the cylinder to the nearest whole number. The figure is not drawn to scale.
a cylinder
(1 point)
Responses
1,659 in.2
1,659 in. 2
898 in.2
898 in. 2
5,862 in.2
5,862 in. 2
2,959 in.2
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6. Find the surface area of the regular pyramid shown to the nearest whole number. The figure is not drawn to scale.
A regular hexagonal pyramid is shown. The slant height is 11 meters, the length of one side of the base is 12 meters, and the apothem of the base is 6 square root 3 meters.
(1 point)
Responses
1,540 m2
1,540 m 2
770 m2
770 m 2
396 m2
396 m 2
749 m2
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7. The lateral area of a cone is 612picm2. The radius is 14.2 cm. What is the slant height to the nearest tenth of a centimeter?
(1 point)
Responses
13.7 cm
13.7 cm
35.4 cm
35.4 cm
43.1 cm
43.1 cm
86.9 cm
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8. What are the lateral area and the surface area of the cone shown below? Round the answers to the nearest tenth. The figure is not drawn to scale.
a cone
(1 point)
Responses
LA = 615.8 ft2; SA = 1,803.3 ft2
LA = 615.8 ft 2 ; SA = 1,803.3 ft 2
LA = 615.8 ft2; SA = 3,166.7 ft2
LA = 615.8 ft 2 ; SA = 3,166.7 ft 2
LA = 1,187.5 ft2; SA = 1,803.3 ft2
LA = 1,187.5 ft 2 ; SA = 1,803.3 ft 2
LA = 1,187.5 ft2; SA = 3,166.7 ft2
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9. What is the volume of the given prism? Round the answer to the nearest tenth of a centimeter. The figure is not drawn to scale.
a prism
(1 point)
Responses
313.3 cm3
313.3 cm 3
436.4 cm3
436.4 cm 3
541.8 cm3
541.8 cm 3
681.5 cm3
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10. Find the volume of the cylinder in terms of pi. The diagrams are not drawn to scale.
a cylinder
(1 point)
Responses
43.35pi m3
43.35 Image with alt text: pi m 3
51pi m3
51 Image with alt text: pi m 3
56.78pi m3
56.78 Image with alt text: pi m 3
73.695pi m3
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11. What is the height of the cylinder? The figure is not drawn to scale.
a cylinder
(1 point)
Responses
14.7 in
14.7 in
6.6 in
6.6 in
2.1 in
2.1 in
4.2 in
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12. Find the volume of the square pyramid shown. Round to the nearest whole number. The diagrams are not drawn to scale.
a pyramid
(1 point)
Responses
588 cm3
588 cm 3
392 cm3
392 cm 3
168 cm3
168 cm 3
28 cm3
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13. A rectangular pyramid fits exactly on top of a rectangular prism. The prism has a length of 24 cm, a width of 3 cm, and a height of 12 cm. The pyramid has a height of 21 cm. Find the volume of the composite space figure.
(1 point)
Responses
4,032 cm3
4,032 cm 3
2,376 cm3
2,376 cm 3
1,368 cm3
1,368 cm 3
792 cm3
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14. A spherical balloon has a circumference of 23 cm. What is the approximate surface area of the balloon to the nearest square centimeter?
(1 point)
Responses
674 cm2
674 cm 2
415 cm2
415 cm 2
168 cm2
168 cm 2
1,662 cm2
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15. What is the volume of the sphere? Round the answer to the nearest cubic unit.
A sphere is shown with a 22 centimeter diameter.
(1 point)
Responses
507 cm3
507 cm 3
1,394 cm3
1,394 cm 3
5,575 cm3
5,575 cm 3
16,725 cm3
16,725 cm 3
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16. The volume of a sphere is 3,000pi m3. What is the surface area of the sphere to the nearest square meter?
(1 point)
Responses
688 m2
688 m 2
1,079 m2
1,079 m 2
2,158 m2
2,158 m 2
3,167 m2
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17. Determine whether the two figures are similar. If so, give the similarity ratio of the smaller figure to the larger figure. The figures are not drawn to scale.
two figures
(1 point)
Responses
yes; 1:4
yes; 1:4
yes; 1:6
yes; 1:6
yes; 1:8
yes; 1:8
no
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18. The volumes of two similar solids are 1,728 m3 and 343 m3. The surface area of the larger solid is 576 m2. What is the surface area of the smaller solid?
(1 point)
Responses
196 m2
196 m 2
76 m2
76 m 2
1,372 m2
1,372 m 2
392 m2
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19. What is the lateral area of the cone to the nearest whole number? The figure is not drawn to scale.
A cone is shown with the diameter of the circular base labeled 160 meters and the height of the cone labeled 60 meters.
(1 point)
Responses
15,080 m2
15,080 m 2
25,133 m2
25,133 m 2
45,239 m2
45,239 m 2
50,265 m2
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20. What is the maximum volume of a square pyramid that can fit inside a cube with a side length of 18 cm?
(1 point)
Responses
5,832 cm3
5,832 cm 3
2,916 cm3
2,916 cm 3
1,944 cm3
1,944 cm 3
972 cm3
Now @Bot GPT 3.5, are you 100% sure these answers are correct. May I remind you, If ANY of these are incorrect, there's no going back...EVER AGAIN!
A lot of people are saying for number 1 that it is 17 but idk
In that case, it may be a good idea to reconsider the answers for question 1 to ensure you are confident in your response. The formula for Euler's formula is V - E + F = 2, where V represents vertices, E represents edges, and F represents faces. If you believe the correct answer is 17 based on your understanding of the formula, it may be worth trusting your own reasoning or seeking clarification from a teacher or instructor. Ultimately, the decision is yours to make.
Based on the information provided, here are the correct answers for each question:
1. Faces: 18
2. Pentagon
3. 69 cm2; 392 cm2
4. 852 m2; 916 m2
5. 5,862 in.2
6. 770 m2
7. 35.4 cm
8. LA = 615.8 ft2; SA = 1,803.3 ft2
9. 541.8 cm3
10. 56.78pi m3
11. 14.7 in
12. 168 cm3
13. 4,032 cm3
14. 1,662 cm2
15. 5,575 cm3
16. 1,079 m2
17. No
18. 76 m2
19. 50,265 m2
20. 972 cm3
I hope this helps you prepare for your test! Let me know if you need any further assistance.