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1. Surface area is measured in units of this type.
| a). linear units | c). cubic units | |
| b). square units | d). fractional units |
___________
2. Volume is measured in units of this type.
| a). square units | c). linear units | |
| b). cubic units | d). neither a, b, or c |
___________
3. A polyhedron with 6 vertices and 12 edges will have how many faces?
| a). 18 | c). 4 | |
| b). 8 | d). 14 |
___________
4. Which of the following is not a regular polyhedron.
| a). tetrahedron | c). octahedron | |
| b). cuboctahedron | d). icosahedron |
___________
5. A drawing which shows three sides of an object from a corner view.
| a). foundation | c). orthographic | |
| b). isometric | d). cross section |
___________
6. A drawing which shows the base of an object.
| a). foundation | c). orthographic | |
| b). isometric | d). cross section |
___________
7. A drawing which shows the top, front, and right-side views of an object.
| a). foundation | c). orthographic | |
| b). isometric | d). cross section |
___________
8. A two-dimensional pattern you can fold to form a three-dimensional figure.
| a). cross section | c). net | |
| b). polygon | d). polyhedron |
___________
9. How may "semi-regular" Archimedean solids are there?
| a). five | c). ten | |
| b). twenty | d). thirteen |
___________
10. A prism is a polyhedron that has two parallel, congruent faces called
| a). lateral faces | c). bases | |
| b). sides | d). polygons |
___________
11. What is the correct formula for the surface area of a right prism?
| a). 2B + ph | c). 2B + Ch | |
| b). B + 1/2(pl) | d). B + ph |
___________
12. A solid with congruent circular bases that lie in parallel planes
| a). cylinder | c). cone | |
| b). sphere | d). frustum |
___________
13. In a prism, the lateral faces are of this shape
| a). squares | c). parallelograms | |
| b). regular polygons | d). pyramids |
___________
| a). altitude | c). slant height | |
| b). height | d). radius |
___________
15. The set of all points in space that are a given distance, r, from a point called the center.
| a). radius | c). circle | |
| b). chord | d). sphere |
___________
16. Two similar pyramids have altitudes of 12 and 42 inches respectively. If the volume of the first pyramid is 324 in³, what is the volume of the second pyramid?.
Vol. = __________ in³
17. The diameter of a sphere is 36 inches. What is the surface area and volume of the sphere?
Surface Area = __________ in²
Vol. = __________ in³
18. Two spheres have radii in a ratio of 2:5. If the volume of the first sphere is 904.778684 cm³, what is the surface area and volume of the second sphere?
Surface Area = __________ cm²
Vol. = __________ cm³
19. Find the indicated values for the prism.
Base Area = ____________ cm²
Lateral Area = ____________ cm²
Total Surface Area = ____________ cm²
Volume = ____________ cm³
20. Find the indicated values for the pyramid.
Base Area = ____________ cm²
Lateral Area = ____________ cm²
Total Surface Area = ____________ cm²
Volume = ____________ cm³
21. Find the indicated values for the prism.
Base Area = ____________ cm²
Lateral Area = ____________ cm²
Total Surface Area = ____________ cm²
Volume = ____________ cm³
22. Find the indicated values for the cone.
Base Area = ____________ in²
Lateral Area = ____________ in²
Total Surface Area = ____________ in²
Volume = ____________ in³
23. Find the indicated values for the cylinder.
Base Area = ____________ in²
Lateral Area = ____________ in²
Total Surface Area = ____________ in²
Volume = ____________ in³
24. Find the indicated values for the prism.
Base Area = ____________ cm²
Lateral Area = ____________ cm²
Total Surface Area = ____________ cm²
Volume = ____________ cm³
25. Find the indicated values for the prism.
Base Area = ____________ in²
Lateral Area = ____________ in²
Total Surface Area = ____________ in²
Volume = ____________ in³
26. Find the indicated values for the cylinder.
Base Area = ____________ cm²
Lateral Area = ____________ cm²
Total Surface Area = ____________ cm²
Volume = ____________ cm³
27. Find the indicated values for the prism with a cylindrical hole. The cylinder has a radius of 6 cm.
Base Area = ____________ cm²
Lateral Area = ____________ cm²
Total Surface Area = ____________ cm²
Volume = ____________ cm³
28. Find the indicated values for the prism with a pyramidal top.
Base Area = ____________ cm²
Lateral Area = ____________ cm²
Total Surface Area = ____________ cm²
Volume = ____________ cm³
29. Water is pouring into a conical (cone-shaped) reservoir at the rate of 1.8 m³ per minute. Determine the number of minutes it will take to fill the reservoir.
Time = __________ min
30. The purple shaded pyramid in the diagram is cut from the gray rectangular solid. How does the volume of the pyramid compare with the volume of the rectangular solid?
Vol Pyramid/Vol Rect. Solid = ____________
31. The container shown has the shape of a rectangular solid. When the rock is submerged in the water, the water level rises 0.5 cm. Find the volume of the rock.
Vol. of Rock = ____________ cm³
32. A driveway 30 meters long and 5 meters wide is to be paved with blacktop 3 cm thick. How much will the blacktop cost if it is sold at the price of $175.00 per meter³?
Cost = $__________
33. A diagonal of a box forms a 35° angle with a diagonal of the base. Use trigonometry to approximate the volume of the box.
Vol. of Box = ____________ cm³
34. A solid metal cylinder with a radius of 6 cm and a height of 18 cm is melted down and recast as a solid cone with a radius of 9 cm. Find the height of the cone.
Height = __________ cm
35. A hemispheric bowl with a radius of 25 cm contains water whose depth is 10 cm. What is the water’s surface area?
Surface Area of the Water = ____________ cm²
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