Finding_Height_of_Pyramid_30_Problems.pptx

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1. Finding the Height of the Pyramid Word Problems (Non-Square or Rectangular Bases)

2. Problem 1 A triangular pyramid has a base where each side is 8 cm and a slant height of 13 cm. What is the vertical height of the pyramid?

3. Problem 2 A pentagonal pyramid has a base side of 10 cm. If its slant height is 15 cm, find its vertical height.

4. Problem 3 A hexagonal pyramid has a base side of 12 cm. The slant height is 14 cm. What is the height of the pyramid?

5. Problem 4 A triangular pyramid has an equilateral base with each side measuring 6 m and a slant height of 9 m. Determine the vertical height.

6. Problem 5 A pentagonal pyramid has a slant height of 20 cm and side lenght of 12 cm. Find its height.

7. Problem 6 A hexagonal pyramid has a base side of 8 cm and a slant height of 17 cm. What is its vertical height?

8. Problem 7 A triangular pyramid has a base side of 10 m and a slant height of 13 m. What is the height of the pyramid?

9. Problem 8 A pentagonal pyramid has a base side of 9 cm and a slant height of 12 cm. Find the height.

10. Problem 9 A hexagonal pyramid has a base side of 14 cm and a slant height of 18 cm. Find its vertical height.

11. Problem 10 A triangular pyramid has an equilateral base with side 5 cm and a slant height of 8 cm. Find its vertical height.

12. Problem 11 A pentagonal pyramid has a slant height of 10 m and a side of 6 m. What is the height of the pyramid?

13. Problem 12 A hexagonal pyramid has a base side of 10 cm, and a slant height of 15 cm. Find its height.

14. Answer 14.14 cm

15. Problem 13 A triangular pyramid with base side 12 m has a slant height of 20 m. What is the vertical height?

16. Answer 19.08 cm

17. Problem 14 A pentagonal pyramid has a slant height of 25 cm and a base apothem of 15 cm. Find its vertical height.

18. Answer 23.85 cm

19. Problem 15 A hexagonal pyramid has a side of 11 cm and a slant height of 19 cm. What is the pyramid’s height?

20. Answer 18.19 cm

21. Problem 16 A triangular pyramid has a base side of 9 cm and slant height of 14 cm. What is the vertical height?

22. Answer 13.26 cm

23. Problem 17 A pentagonal pyramid has a slant height of 18 cm and a base side of 10 cm. Find its vertical height.

24. Answer 17.29 cm

25. Problem 18 A hexagonal pyramid has a base side of 16 cm and slant height of 22 cm. What is the pyramid’s height?

26. Answer 20.49 cm

27. Problem 19 A triangular pyramid has a base side of 15 cm and a slant height of 17 cm. Find its vertical height.

28. Answer 15.26 cm

29. Problem 20 A pentagonal pyramid has a base side of 8 cm and a slant height of 13 cm. What is the height of the pyramid?

30. Answer 12.37 cm

31. Problem 21 A hexagonal pyramid has an apothem of 10 cm and a slant height of 12 cm. Find its height.

32. Problem 22 A triangular pyramid with a base side of 7 cm has a slant height of 10 cm. Find its vertical height.

33. Problem 23 A pentagonal pyramid has a slant height of 21 cm and a base apothem of 9 cm. Find its vertical height.

34. Problem 24 A hexagonal pyramid has a base side of 9 cm and a slant height of 20 cm. Find its height if the apothem is 8 cm.

35. Problem 25 A triangular pyramid has a base side of 11 cm and a slant height of 16 cm. Find the pyramid’s vertical height.

36. Problem 26 A pentagonal pyramid has a slant height of 14 cm and a base apothem of 9 cm. What is its height?

37. Problem 27 A hexagonal pyramid has a base apothem of 13 cm and slant height of 18 cm. Determine the vertical height.

38. Problem 28 A triangular pyramid has a base side of 10 cm and a slant height of 15 cm. Find its vertical height.

39. Problem 29 A pentagonal pyramid has a base apothem of 6 cm and slant height of 9 cm. What is its height?

40. Problem 30 A hexagonal pyramid has a base apothem of 7 cm and slant height of 10 cm. Find the vertical height of the pyramid.