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Three-Dimensional Geometry: Help and Review Chapter Exam

Exam Instructions:

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!

Page 1

Question 1 1. What is the scale factor from the smaller rectangle to the larger rectangle pictured below?

Question 2 2. What is the volume of a box with no lid and all sides of equal length that has a surface area of 125 square meters?

Question 3 3. What is the volume of a cube with an edge length of 6 cm?

Question 4 4. If we apply a scale factor of 4 to the triangular prism below, what will the volume of the new prism be?

Question 5 5. What is the volume of the cube created by taking two 6 by 2 strips of paper, folding them into thirds, and using each third as a side of the cube?

Page 2

Question 6 6. The volume of this square pyramid is 6250 cubic feet. If each side of the base is 25 feet long, what is its height?

Question 7 7. What is the volume of this prism?

Question 8 8. What is the area of the circle enclosed by taking a 10 cm by 6 cm sheet and wrapping it so that the short edges touch?

Question 9 9. What is the approximate volume of a cone with a radius of 18 inches and a height of 42 inches?

Question 10 10. What is the volume of a hemisphere with a radius of 3cm?

Page 3

Question 11 11. What is the area of the annulus/doughnut shown below?

Question 12 12. What is the area of the diamond/kite shown below?

Question 13 13. If the area of the first triangle is 14, and the area of the second triangle is 350, what is the scale factor?

Question 14 14. What is the volume of this cube?

Question 15 15. What is the approximate volume of a sphere with a radius of 7 inches?

Page 4

Question 16 16. Which of the following rectangles represents a scale factor of 3 from the rectangle pictured below?

Question 17 17. If we want to find the surface area of the inside of a swimming pool with the dimensions 2 m deep x 10 m wide x 30 m long, then why is this surface area different from a rectangular prism with the dimensions 2 m deep x 10 m wide x 30 m long?

Question 18 18. If a cone has radius of 4 inches and a volume of 151 cubic inches, what is its approximate height?

Question 19 19. What is the volume of this prism?

Question 20 20. A sphere has a diameter of 17 inches. What is its approximate volume?

Page 5

Question 21 21. What is the approximate volume of a cylinder with a radius of 4 inches a height of 13 inches?

Question 22 22. What is the area of the circle enclosed by taking a 4 cm by 6 cm sheet and wrapping it around a 6 cm tall cylinder?

Question 23 23. If we apply a scale factor of 3 to a cube where each side is 2 inches long, what will the volume of the new cube be?

Question 24 24. A triangular pyramid is pictured. If the height of the pyramid is 16 and the base dimensions are as shown, what is the volume?

Question 25 25. What is the area of the right triangle shown below?

Three-Dimensional Geometry: Help and Review Chapter Exam Instructions

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!

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