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Comprehensive Geometry Review: Area, Volume, and Surface Area Calculations

This review game includes a series of geometry questions focusing on calculations related to area, volume, and surface area of various shapes. Participants will solve problems involving circular fountains, triangles, trapezoids, and prisms, requiring them to apply formulas for circumference, area, and volume. Each question is designed to enhance understanding of geometric principles and improve problem-solving skills in a fun, engaging format.

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Comprehensive Geometry Review: Area, Volume, and Surface Area Calculations

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  1. Unit 5: Part 1 Review Game

  2. Question 1 A radio station broadcasts a signal over an area with a 75-mile radius. What is the area of the region that receives the radio signal?

  3. Question 2 2. Lily is drawing plans for a circular fountain. The circumference of the fountain is 63 ft. What is the approximate diameter?

  4. Question 3 Find the missing measurements to the nearest tenth: R = _____ D = _____ C = 17.8 m

  5. Question 4 Find the area to the nearest tenth. Use 3.14 for pi. 9 yd 11 11

  6. Question 5 Find the area of the figure to the nearest tenth. 21 cm 21 cm 6 cm 6 cm

  7. Question 6 Find the area. 9 in 6 in 13 in

  8. Question 7 A triangle has an area of 17.5 squared feet. If the base is 5 ft, find the height of the triangle.

  9. Question 8 A trapezoid has an area of 108 meters squared. The bases are 10 and 14. What is the height of the trapezoid?

  10. Question 9 Find the volume of the figure to the nearest tenth. 3 m 6m 2m 7m 5m

  11. Question 10 Find the area of the sun. Express your answer in feet. h=4 5 d=8

  12. Question 11 Find the surface area of the triangular prism. 9 yd 6 yd

  13. Question 12 Find the volume.

  14. Question 13 Find the volume of the cylinder.

  15. Question 14 Find the surface area. 7 ft 7 ft

  16. Question 15 A gift box is shaped like a rectangular prism. It is 2 ft wide and 3ft high. If the surface area is 72 feet squared, what is the length of the gift box?

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