Download Discovering Geometry: Chapter 10 Review

Discovering Geometry: Chapter 10 Review
Name________________________ Period: _________
Complete each statement:
1. A solid formed by polygons that enclose a single region of space is called a ____________________.
2. The flat polygonal surfaces of a polyhedron are called its ____________________.
3. A segment where two faces intersect is called an ____________________.
4. The point of intersection of three or more edges is called a ____________________.
5. A ____________________ is a special type of polyhedron, with two faces called
____________________ that are congruent, ____________________ polygons.
6. The faces of a polyhedron that are not the bases are called ____________________ faces.
7. A prism whose lateral faces are____________________ is called a right prism.
8. The ____________________ of a prism is any perpendicular segment from one base to the plane of the
other base.
9. A ________________ is the set of all points in space at a given distance from a given point.
10. The length of an altitude is the ____________________ of the prism.
11. The point that all the lateral faces of a pyramid have in common is the ____________________.
12. A circle that encloses the base of a hemisphere is called ____________________.
13. How many bases does a pyramid have? ______________
14. What type of solid is shown below:
_______________________________
15. What type of solid is shown below:
______________________________
16. Name 3 types of solids with curved faces (non-polyhedra) and review the definitions.
17. What is the volume of a hemisphere with radius 6 cm? What is the surface area with lid? What is the
surface area without lid?
V = ______________
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SA with lid = ______________
SA without lid = ______________
18. A rock is submerged in a cylindrical beaker that has a circumference of 8𝜋 cm2. When the rock is
submerged, the water in the beaker rises 6 cm. What is the volume of the rock?
19. Volume (units cm) = ________________
20. Volume = 550 𝑓𝑡 3 , r = ________________
13.
21. A square pyramid has volume 162 cm3. If the height of the pyramid is 6 cm, what is the length of each
side of the square base? _________________ cm
22. V = 288
cm3, diameter = ________________
23. Find the volume with radius = 5 cm
24. The height of a cone is equal to three times the radius of the base. If the base has area 36
is the volume of the cone?
cm2, what
25. Find the volume of the region between the cylinders:
R = 14 in.
r = 12 in.
Volume = _________________
26. Volume = ____________________ Surface Area = ______________________
r = 9 yards.
27. Find the volume of the right trapezoidal prism below: All units are cm.
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28. (Sketch a picture) Find the volume of a right cone with:
a.
A height of 15 in. and a diameter of 20 in.
b. A slant height of 26 in. and a diameter of 20 in.
29. If the volume of this pyramid is 100𝑐𝑚3 , find H.
Note: 10 is the entire hypotenuse of the triangular base.
30. Find the volume of the figure.
Note: The apothem is 3 3 ft.
31. Find the volume of an oblique cylinder that has a base with a diameter of 10 inches and a height of 12
inches.
32. Find the volume of a regular hexagonal pyramid with a height of 12 cm. Each side of the base is 8 cm
and the apothem is 4 3 cm.
33. Find the total volume
34. Find the total volume
9 cm
15 cm
35. There will be 3 mixed review questions on the Chapter 10 test. You will want to study the following:
a. Using the Converse of the Pythagorean Theorem to determine if a triangle is right, acute, or obtuse (Section 9.2).
b. 30-60-90 and 45-45-90 Special Right Triangles (Section 9.3).