Discussion
Home ‣ Aptitude ‣ Volume and Surface Area Comments
- Question
A cuboidal block 6cm x 9cm x 12cm is cut up into an exact number of equal cubes.The least possible number of equal cubes will be
Options- A. 6
- B. 9
- C. 24
- D. 30
- Correct Answer
- 24
ExplanationVolume of block=(6 x 9 x 12) cu.cm = 648 cu.cm
Side of largest cube = H.C.F of 6,9,12 = 3cm
Volume of the cube=(3 x 3 x 3)=27cu.cm
Number of cubes=(648/27)=24
- 1. Ratio between heights of two cylinder in the ratio 3:5. Their volumes are in the ratio 27:80. Find ratio between their radius ?
Options- A. 1:3
- B. 2:1
- C. 3:4
- D. 4:7 Discuss
- 2. The circumferences of two circles are 264 meters and 352 meters. Find the difference between the areas of the larger and the smaller circles ?
Options- A. 2413 sq.m
- B. 1234 sq.m
- C. 4312 sq.m
- D. 2143 sq.m Discuss
- 3. If the volume of the cube is 729 cm3 , then the surface area of the cube will be
Options- A. 486 sq.cm
- B. 456 sq.cm
- C. 446 sq.cm
- D. 476 sq.cm Discuss
- 4. If a solid sphere of radius 10 cms is moulded into 8 spherical solid balls of equal radius, then surface area of each ball (in sq.cm) is ?
Options- A. 100 ?
- B. 101/?
- C. 99 ?/12
- D. 54/13? Discuss
- 5. Find the number of bricks, each measuring 24 cm x 12 cm x 8 cm, required to construct a wall 24 m long, 8m high and 60 cm thick, if 10% of the wall is filled with mortar?
Options- A. 35000
- B. 45000
- C. 55000
- D. 65000 Discuss
- 6. A large cube is formed from the material obtained by melting three smaller cubes of 3, 4 and 5 cm side. What is the ratio of the total surface areas of the smaller cubes and the large cube?
Options- A. 2 : 1
- B. 3 : 2
- C. 25 : 18
- D. 27 : 20 Discuss
- 7. Find the surface area of a cuboid 16 m long, 14 m broad and 7 m high
Options- A. 868 sq.cm
- B. 920 sq.cm
- C. 727 sq.cm
- D. 900 sq.cm Discuss
- 8. There is a cylinder circumscribing the hemisphere such that their bases are common. Find the ratio of their volumes
Options- A. 3/2
- B. 5/2
- C. 7/2
- D. 9/2 Discuss
- 9. The capacity of a tank of dimensions (8m x 6m x 2.5m)is
Options- A. 120 litres
- B. 1200 litres
- C. 12000 litres
- D. 120000 litres Discuss
- 10. How many iron rods, each of length 7 mts and diameter 2 cms can be made out of 0.88 cubic metre of iron ?
Options- A. 500
- B. 600
- C. 400
- D. 300 Discuss
Volume and Surface Area problems
Search Results
Correct Answer: 3:4
Correct Answer: 4312 sq.m
Explanation:
Let the radii of the smaller and the larger circles be 's' m and 'l' m respectively.
= 264 and = 352
s = and l =
Difference between the areas =
=
=
= (176 - 132)(176 + 132) /
= (44 x 308) / (22/7) = 4312 sq.m
Correct Answer: 486 sq.cm
Explanation:
volume = = 729;
=> a = 9
surface area= 6 = (6 x 9 x 9) = 486 sq.cm
Correct Answer: 100 ?
Explanation:
4/3 ? x 10 x 10 x 10 = 8 x 4/3 ? x r x r x r
r = 5
4? x 5 x 5 = 100?
Correct Answer: 45000
Explanation:
Volume of the wall = (2400 x 800 x 60) cu.cm
Volume of bricks = 90% of the volume of the wall
= [(90/100) x 2400 x 800 x 60] cu.cm
Volume of 1 brick = (24 x 12 x 8) cu.cm
Number of bricks = [(90/100) x (2400 x 800 x 60) ]/ (24 x 12 x 8) = 45000
Correct Answer: 25 : 18
Explanation:
Volume of the large cube = = 216 cu.cm.
Let the edge of the large cube be a.
So, = 216
=>a = 6 cm.
Required ratio =
Correct Answer: 868 sq.cm
Explanation:
Surface area = [2 (16 x 14 + 14 x 7 + 16 x 7)] sq.cm
= (2 x 434)sq.cm = 868 sq.cm
Correct Answer: 3/2
Explanation:
R =OA = OB = Radius of hemisphere.
= Radius of cylinder ABCD.
Height of the cylinder = BC = radius
Volume of cylinder/Volume of hemisphere =
Correct Answer: 120000 litres
Explanation:
capacity of a tank = volume of tank
= [ (8 x 100) x (6 x 100) x (2.5 x 100) ]/ 1000 litres
= 120000 litres
Correct Answer: 400
Explanation:
Given length of iron rod =7 mts and and diameter of rod = 2 cms
=> r = 1/100 mts
Therefore, Volume of one rod = cu. m = cu. m = cu. m
Given volume of iron = 0.88 cu. m
Therefore, Number of rods = = 400.
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