Monday

January 16, 2017
Posted by **joe** on Tuesday, June 23, 2009 at 11:10am.

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: 2ã3 cm x 7ã5 cm x 4ã6 cm. 84ã5 cm3 168ã10 cm3

336ã5 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. 5ã3 cm3 4ã3 cm3

2ã3 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. 216ã3 ft3 26ã6 ft3

9ã3 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 2ã2 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

15ã3 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 2ã10 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

- geometry -
**Ms. Sue**, Tuesday, June 23, 2009 at 11:12amHow would you like us to help you with this assignment?

- geometry -
**bobpursley**, Tuesday, June 23, 2009 at 11:16amJoe, you are in trouble, and in need of a tutor. We wont do your test for you. Pass this to your teacher: You have "taken" this test 2 times before, and this is the third time "you have seen it". What kind of test is that? It may be a study instrument, but it certainly is not determining what you know or don't know. Most of the questions above are pretty basal, and if you are having difficulty with them, as you seem to be, you do not know the subject matter. Fail the test, and get a tutor, and work your posterior off learning this material.

- geometry -
**Jes**, Saturday, June 27, 2009 at 2:50pmThis is not a test its from a summer school lesson... specifically submission 32.I know im looking at the same thing right now.

- geometry -
**Yaya**, Monday, July 13, 2009 at 3:01amlol me too..DAMN these submissions are hard as hell !!!..i think they should eventually eliminate math from school anyways cuz everyone hates it

- geometry -
**Haylie**, Thursday, July 16, 2009 at 2:50amsame issue man :/

- geometry -
**Anonymous**, Sunday, February 21, 2010 at 10:09pmfind volume of a cone with a diameter of 12 mm and a height of 5 mm

- geometry -
**Anonymous**, Thursday, June 17, 2010 at 9:34amscrew math

- geometry -
**Anonymous**, Thursday, August 19, 2010 at 3:00pmFind the volume of a sphere with a radius of 3

- geometry -
**Pete**, Monday, December 13, 2010 at 8:43pmFind the volume of a pyramid that has a square base, measuring 6 feet on a side, and whose height is 16 feet.

- geometry -
**ugh**, Wednesday, March 23, 2011 at 5:03pm-_________________- im looking at it 2

- geometry -
**dlyonss**, Monday, July 18, 2011 at 11:44amcool out how about i qot it too

- geometry -
**Anonymous**, Thursday, May 2, 2013 at 12:49pmLol