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- Question
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
- Correct Answer
- 1 : 7 : 19
- 1. 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
- 2. The height of a cone is 45 cm. It is cut at a height of 15 cm from its base by a plane parallel to its base. If the volume of the smaller cone is 18480 cm3, then what is the volume (in cm3) of the original cone?
Options- A. 34650
- B. 61600
- C. 36960
- D. 62370 Discuss
- 3. The sum of radii of the two circles is 91 cm and the difference between their area is 2002 cm2 . What is the radius (in cm) of the larger circle?
Options- A. 56
- B. 42
- C. 63
- D. 49 Discuss
- 4. An equilateral triangle of area 300 cm2 is cut from its three vertices to form a regular hexagon. Area of hexagon is what percent of the area of triangle?
Options- A. 66.66%
- B. 33.33%
- C. 83.33%
- D. 56.41% Discuss
- 5. There are 8 equidistant points A, B, C, D, E, F, G and H (in same order) on a circle. What is the value of ?FDH (in degrees)?
Options- A. 22.5
- B. 45
- C. 30
- D. 42.5 Discuss
- 6. 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
- 7. 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
- 8. 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
- 9. 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 Discuss
- 10. 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
Volume and Surface Area problems
Search Results
Correct Answer: 30420
Correct Answer: 62370
Correct Answer: 49
Correct Answer: 66.66%
Correct Answer: 45
Correct Answer: 576 cubic cms
Correct Answer: 48(4 + ?3)
Correct Answer: 7.5
Correct Answer: 905.14
Correct Answer: 4 : 3 : [(?2) + 1]
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