Discussion
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- Question
Two spheres of equal radius are taken out by cutting from a solid cube of side (12 + 4?3) cm. What is the maximum volume (in cm3) of each sphere?
Options- A. 1077.31
- B. 905.14
- C. 966.07
- D. 1007.24
- Correct Answer
- 905.14
- 1. A cylinder of radius 4.5 cm and height 12 cm just fits in another cylinder completely with their axis perpendicular. What is the radius (in cm) of second cylinder?
Options- A. 5
- B. 6
- C. 15
- D. 7.5 Discuss
- 2. A regular hexagonal base prism has height 8 cm and side of base is 4 cm. What is the total surface area (in cm2) of the prism?
Options- A. 54(3 + ?3)
- B. 36(3 + ?3)
- C. 48(4 + ?3)
- D. 24(4 + ?3) Discuss
- 3. The length, breadth and height of a cuboid are 12 cm, 8 cm and 6 cm respectively. The volume of the cuboid is (Use ? = 22/7)
Options- A. 1152 cubic cms
- B. 288 cubic cms
- C. 576 cubic cms
- D. 864 cubic cms Discuss
- 4. A regular triangular pyramid is cut by 2 planes which are parallel to its base. The planes trisects the altitude of the pyramid. Volume of top, middle and bottom part is V1, V2 and V3 respectively. What is the value of V1 :V2 : V3?
Options- A. 1 : 8 : 27
- B. 1 : 8 : 19
- C. 2 : 9 : 27
- D. 1 : 7 : 19 Discuss
- 5. Identical cubes of largest possible size are cut from a solid cuboid of size 65 cm × 26 cm × 3.9 cm. What is the total surface area (in cm2) of all the small cubes taken together?
Options- A. 30420
- B. 15210
- C. 20280
- D. 16440 Discuss
- 6. Three toys are in a shape of cylinder, hemisphere and cone. The three toys have same base. Height of each toy is 2?2 cm. What is the ratio of the total surface areas of cylinder, hemisphere and cone respectively?
Options- A. 4 : 3 : [(?2) + 1]
- B. 4 : 3 : [2 + (?2)]
- C. 4 : 3 : 2?2
- D. 2 : 1 : (1 + ?2) Discuss
- 7. A solid cube is cut into 27 identical cubes. What is the percentage increase in the total surface area?
Options- A. 150
- B. 200
- C. 300
- D. 250 Discuss
- 8. A regular square pyramid has side of its base 20 cm and height 45 cm is melted and recast into regular triangular pyramids of equilateral base of side 10 cm and height 10?3 cm. What are the total numbers of regular triangular pyramid?
Options- A. 24
- B. 20
- C. 27
- D. 28 Discuss
- 9. If a cylinder of radius 7 cm and height 9 cm is melted and constructed into a cone of the same radius, what will be the height of this cone?
Options- A. 54 cm
- B. 9 cm
- C. 27 cm
- D. 13.5 cm Discuss
- 10. What is the measure of an interior angle of a regular dodecagon?
Options- A. 120°
- B. 140°
- C. 150°
- D. 144° Discuss
Volume and Surface Area problems
Search Results
Correct Answer: 7.5
Correct Answer: 48(4 + ?3)
Correct Answer: 576 cubic cms
Correct Answer: 1 : 7 : 19
Correct Answer: 30420
Correct Answer: 4 : 3 : [(?2) + 1]
Correct Answer: 200
Correct Answer: 24
Correct Answer: 27 cm
Correct Answer: 150°
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