Discussion
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- Question
- The area of the base of a rectangular tank is 6500 sq. cm and the volume of water contained in it is 2.6 cubic meters. The depth of water is?
Options- A. 3.5 m
- B. 4 m
- C. 5 m
- D. 8 m
- Correct Answer
- 4 m
ExplanationLet depth = D cm.
Then, D x 6500 = 2.6 x 100 x 100 x 100
? D = (2.6 x 100 x 100 x 100) / 6500 cm
= 400 cm = 4 cm - 1. In a shower, 5 cm of rain falls. The volume of water that falls on 2 hectare of ground, is?
Options- A. 100 m3
- B. 1000 m3
- C. 10 m3
- D. 10000 m3 Discuss
- 2. Half cubic meter of gold sheet is extended by hammering so as to cover an area of hectare. The thickness of the sheet is?
Options- A. 0.5 cm
- B. 0.05 cm
- C. 0.005 cm
- D. 0.0005 cm Discuss
- 3. The length of longest rod that can be placed in a room 20 m long, 16 m broad and 12 m high, is?
Options- A. 20 m
- B. 16.4 m
- C. 48 m
- D. 28.2 m Discuss
- 4. The length of longest rod that can fit in a cubical vessel of side 10 cm, is?
Options- A. 10 cm
- B. 10?2
- C. 10?3
- D. None of these Discuss
- 5. The length of the longest pole that can be placed in a room 12 m long and 9 m wide and 8 m high is?
Options- A. 12 m
- B. 14 m
- C. 17 m
- D. 21 m Discuss
- 6. The number of small cubes with edges of 10 cm that can be accommodated in a cubical box 1 meter edge is?
Options- A. 10
- B. 100
- C. 1000
- D. 10000 Discuss
- 7. If the volume and surface are of a sphere are numerically the same then its radius is?
Options- A. 1 unit
- B. 2 unit
- C. 3 unit
- D. 4 unit Discuss
- 8. The volume of a sphere is 88/21 x (14) 3 cm 3. The curved surface of this sphere is?
Options- A. 2424 cm2
- B. 2446 cm2
- C. 2464 cm2
- D. 2484 cm2 Discuss
- 9. A cylinder and a cone have the same height and same radius of the base. The ratio between the volumes of the cylinder and the cone is?
Options- A. 1 : 3
- B. 3 : 1
- C. 1 : 2
- D. 2: 1 Discuss
- 10. The side of a cube measures 9 cm. What will be the diagonal of the cube (in cm)?
Options- A. 5?3
- B. 7?3
- C. 9?3
- D. 3?3 Discuss
Volume and Surface Area problems
Search Results
Correct Answer: 1000 m3
Explanation:
Volume = Area x Thickness of rainfall
= 2 x 10000 x (5/100) m3
= 1000 m3
Correct Answer: 0.005 cm
Explanation:
Thickness = Volume / Area
= (1/2)/10000 m
= (1 x 100)/(2 x 10000) cm
= 0.005 cm
Correct Answer: 28.2 m
Explanation:
Length of the rod = ?(20)2 + (16)2 + (12)2 m
= ?800 m
= 20?2 m
= (20 x 1.41) m
= 28.2 m
Correct Answer: 10?3
Explanation:
Longest rod = ?(10)2 + (10)2 + (10)2 cm
=?300 cm
=10?3 cm
Correct Answer: 17 m
Explanation:
Length of longer rod = ?l2 + b2 + h2
= ?122 + 92 + 82
= ?144 + 81 + 64
= ?289
= 17 m
Correct Answer: 10000
Explanation:
Number of cubes = (100 x 100 x 100)/(10 x 10 x 10) = 1000
Correct Answer: 3 unit
Explanation:
4/3 ?r3 = 4?r2
? r = 3 units.
Correct Answer: 2464 cm2
Explanation:
? (4/3) x (22/7) x r3 = (88/21) x (14)3
? r = 14
? Curved surface = 4 x (22/7) x 14 x 14 cm2 = 2464 cm2
Correct Answer: 3 : 1
Explanation:
Ratio of their volumes = [?r2h] / [(1/3)?r2h] = 3/1
= 3 : 1
Correct Answer: 9?3
Explanation:
Given, side of cube, a = 9
? Diagonal of cube = a?3 = 9?3
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