Discussion
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- Question
- 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
- Correct Answer
- 6 cm
ExplanationVolume 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 - 1. 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
- 2. 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
- 3. 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
- 4. One diagonal of a rhombus is 60% of the other diagonal. Then, area of the rhombus is how many times the square of the length of the larger diagonal?
Options- A. 1/5
- B. 2/5
- C. 6/7
- D. 3/10 Discuss
- 5. How many circular plates of diameter d be taken out of a square plate of side 2d with minimum loss of material?
Options- A. 8
- B. 6
- C. 5
- D. 2 Discuss
- 6. 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
- 7. 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 Discuss
- 8. 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
- 9. 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
- 10. 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
Volume and Surface Area problems
Search Results
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: 3/10
Explanation:
Let one diagonal be k.
Then, other diagonal = (60k/100) = 3k/5 cm
Area of rhombus =(1/2) x k x (3k/5) = (3/10)
= 3/10 (square of longer diagonal)
Hence, area of rhombus is 3/10 times.
Correct Answer: 5
Explanation:
Area of square plate = (Side)2
= (2d)2
= 4d2
Area of circular plate = ? (d/2)2
= ?d2/4
? Number of square plates
= [(4d2)/4] / [(?d2)/4]
= (4 x 4)/?
? 5
Since, nearest integer value is 5.
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: 3?21 cm
Explanation:
Since, the box is in the form of a cuboid.
? Required length = ?102 +82 + 52 cm
= ?189
= ?9 x 21
= 3?21 cm
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
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