Discussion
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- Question
- A box is of 10 cm long, 8 cm broad and 5 cm high. What is the longest possible length of a pencil that can be put in?
Options- A. ?150 cm
- B. ?98 cm
- C. 3?21 cm
- D. 3?52 cm
- Correct Answer
- 3?21 cm
ExplanationSince, the box is in the form of a cuboid.
? Required length = ?102 +82 + 52 cm
= ?189
= ?9 x 21
= 3?21 cm - 1. If the volumes of two cubes are in the ratio 8 : 1, the ratio of their edges, is?
Options- A. 8 : 1
- B. 2?2 : 1
- C. 2 : 1
- D. None of these Discuss
- 2. Three metal cubes of sides 5 cm, 4 cm and 3 cm are melted and recast into a new cube. The length of the edge of this cube, is?
Options- A. 6 cm
- B. 8 cm
- C. 10 cm
- D. None of these Discuss
- 3. If each side of a cube is doubled, then its volume? .
Options- A. Is doubled
- B. Becomes 4 times
- C. Becomes 6 times
- D. Becomes 8 times Discuss
- 4. The surface area of a cube is 726 m 2. Its volume is?
Options- A. 1300 m3
- B. 1331 m3
- C. 1452 m3
- D. 1542 m3 Discuss
- 5. The volume of a cube is 512 cm 3, Its surface area is?
Options- A. 64 cm2
- B. 256 cm2
- C. 384 cm2
- D. 512 cm2 Discuss
- 6. What is the maximum number of pieces of 5cm x 5cm x 10 cm of cake that can be cut from a big cake of 5 cm x 30 cm x 30 cm size?
Options- A. 10
- B. 15
- C. 18
- D. 30 Discuss
- 7. Find the height of the cylinder whose volume is 551 m 3 and the area of the base is 36.5 m 2.?
Options- A. 7 m
- B. 10.5 m
- C. 14 m
- D. None of these Discuss
- 8. 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
- 9. 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
- 10. 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
Volume and Surface Area problems
Search Results
Correct Answer: 8 : 1
Explanation:
Volume of new cube = [(5)3 + (4)3 + (3)3] cm3
= 216 cm3
Edge of this cube = ( 6 x 6 x 6)1/3 = 6 cm
Correct Answer: 6 cm
Explanation:
Volume of new cube = (5)3 + (4)3 + (3)3 cm3
= 126 cm3
Edge of this cube = (6 x 6 x 6)1/3 = 6 cm
Correct Answer: Becomes 8 times
Explanation:
Let the edge of original cube = x cm
Edge of new cube = (2x) cm
Ratio of their volumes = x3 : (2x)3
= x3 : 8x3
= 1 :8
Thus the volumes be comes 8 times.
Correct Answer: 1331 m3
Explanation:
Surface area = 6a2 = 726
? a2 = 121
? a = 11 cm
? Volume of the cube = (11 x 11 x 11) cm3
= 1331 cm3
Correct Answer: 384 cm2
Explanation:
? a3 = 512 = 8 x 8 x 8
? a = 8 cm
? Surface area = 6a2
=[6 x (8)2] cm2
=384 cm2
Correct Answer: 18
Explanation:
Maximum number of pieces that can be cut out
= (Volume of cake) / (Volume of Each piece of cake)
= (5 x 30 x 30)/(5 x 5 x 10) = 18
Correct Answer: 14 m
Explanation:
Volume of cylinder = ?r2= Area base x height
551 = 36.5 x h
h = 511/365 = 14 m
Correct Answer: 17 m
Explanation:
Length of longer rod = ?l2 + b2 + h2
= ?122 + 92 + 82
= ?144 + 81 + 64
= ?289
= 17 m
Correct Answer: 10?3
Explanation:
Longest rod = ?(10)2 + (10)2 + (10)2 cm
=?300 cm
=10?3 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
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