Thursday
December 8, 2016

Homework Help: geometry

Posted by joe on Tuesday, June 23, 2009 at 11:10am.

You have looked at it two times before. There are 30 questions worth 30 points.

Part 1
Multiple Choice: Select the best answer from the choices provided. (Each question is worth one point)
1.
Determine how many wheels are turning clockwise.

1 2
none

2.
Determine how many wheels are turning clockwise.

2 3
4

3. Find the volume of a rectangular solid with the following dimensions: 2.3 cm x 4.6 cm x 7.8 cm 8.25 cm3 82.524 cm3
41.262 cm3

4. Find the volume of a rectangular solid with the following dimensions: 2ã3 cm x 7ã5 cm x 4ã6 cm. 84ã5 cm3 168ã10 cm3
336ã5 cm3

5. Find the volume of a right triangular prism. Its base is an equilateral triangle with one edge measuring 2 cm. The altitude of the prism is 4 cm. 5ã3 cm3 4ã3 cm3
2ã3 cm3

6. A pyramid has an equilateral triangle for its base. One side of the base measures 12 ft and the altitude of the prism is 6 ft. Find the volume. 216ã3 ft3 26ã6 ft3
9ã3 ft3

7. The base of a pyramid is a right triangle. The legs of the triangle measure 6 in and the altitude of the pyramid is 5 in. Find the volume. 20 in3 15 in3
30 in3

8. A pyramid has a square base. One side of the base measures 2 meters. The height is 4.5 meters. Find the volume. 4 m3 6 m3
18 m3

9. Find the altitude of a rectangular solid whose volume is 42 m3 and whose base has an area of 7 m2. 9 m 12 m
6 m

10. Find the volume of a right cylinder with a radius of 11 cm and a height of 20 cm. 2,420ƒÎ cm3 (2,420/3)ƒÎ cm3
1,210ƒÎ cm3

11. Find the volume of a right cylinder with a radius of 2 ft and a height of 4 ft. 4ƒÎ ft3 8ƒÎ ft3
16ƒÎ ft3

12. Find the volume of a right circular cone with a radius of 4 mm and a height of 6 mm. 96ƒÎ mm3 (32/3)ƒÎ mm3
32ƒÎ mm3

13. Find the volume of a right circular cone with a radius of ã5 m and a height of 3m. 15ƒÎ m3 30ƒÎ m3
5ƒÎ m3

14. Find the volume of a right circular cone with a radius of 2ã2 in and a height of 12 in. 16ƒÎ in3 8ƒÎ in3
32ƒÎ in3

15.
A regular pyramid is inscribed in a right circular cylinder. The base of the pyramid is an equilateral triangle, and the height of the cylinder is 5 ft. If one side of the base of the pyramid measures 6 ft, what is the volume of the pyramid?

60 ft3 120 ft3
15ã3 ft3

16. If the radius of the base of a cone is doubled and the altitude remains the same, what happens to the volume of the cone? Multiplied by 2 Multiplied by 4
Unchanged

17. If both the radius of the base and the altitude of a cone is doubled, what is the change to the volume of the cone? Multiplied by 8 Multiplied by 4
Multiplied by 2

18. A right circular cylinder is inscribed in a rectangular prism. The altitude of the prism and of the cylinder is 4 units. The radius of the cylinder is 2ã10 units. Find the volume of the prism. 640 units3 320 units3
160 units3

19. A pyramid has a square base. One side of the base measures 6 m and the altitude is 3 m. Find the volume of the pyramid. 36 m3 18 m3
108 m3

20. If a pyramid with a square base with its side measuring 6 m and its altitude of 3 m were circumscribed by a cone, what would be the ratio of the square base area to the circular base area? 1 to ƒÎ 1 to 2ƒÎ
1 to 0.5ƒÎ

21.
Find the ratio of the altitude of the smaller cylinder to the larger cylinder.

1/2 1/3
2/3

22.
Find the ratio of the total area of the smaller cylinder to the larger cylinder.

4/9 1/4
2/3

23.
Find the volume of each cylinder.

8ƒÎ units3; 16ƒÎ units3 16ƒÎ units3; 27ƒÎ units3
16ƒÎ units3; 54ƒÎ units3

24.
Find the ratio of the slant height of the smaller cone to the larger.

4/9ƒÎ 2/3
4/9

25.
Find the ratio of the volume of the smaller cone to the larger.

4/9ƒÎ 8/27
16/81ƒÎ

26.
Find the volume of each cone.

Small=32ƒÎ units3; Large=36ƒÎ units3 Small=32ƒÎ units3; Large=108ƒÎ units3
Small=45ƒÎ units3; Large=108ƒÎ units3

27. In two similar solids, how is the ratio of the areas related when compared to the ratio of the dimensions of the solids? The ratio is squared The ratio is cubed
The ratio is the same

28. Cowboy Jim has been on the range for over a week, and oh, is he dirty! When he finally has time for a bath he has to haul the water from a nearby well. The bathtub is in the shape of a rectangular prism. The dimensions of the bathtub are 1 ft x 2 ft x 5 ft. Jim will only take a bath if the water fills the tub completely. Each bucket of water holds 2 ft3 of water. How many buckets of water will it take to fill the tub? 10 5
12

29. A globe sits on a geography teacher's desk. The diameter of the globe is 0.001 km. The earth has a diameter of 12, 713.54 km. Find the ratio of the volume of the globe to the volume of the earth. 0.0001/12,713.54 (0.001/12,713.54)3
(0.001/12,713.54)2

30.
It's laundry time again, and you have a roll of $10 worth of quarters to take to the Wash-'n-Whirl. Each US quarter has width of 1.75 mm and a radius of 12 mm. What is the volume of the roll of quarters?

31,667 mm3 10,080 mm3
26,245 mm3

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