Discussion
Home ‣ Aptitude ‣ Volume and Surface Area Comments
- Question
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?
- Correct Answer
- 100 ?
Explanation4/3 ? x 10 x 10 x 10 = 8 x 4/3 ? x r x r x r
r = 5
4? x 5 x 5 = 100? - 1. 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
- 2. A Conical tent was erected by the army at a base camp with height 3 m and base diameter 10 m. If every person requires 3.92 cu.m air, then how many persons can be seated in that tent approximately?
Options- A. 20
- B. 19
- C. 17
- D. 22 Discuss
- 3. The circumference of a circular base of Cylinder is 44 cm and its hight is 15 cm. Then the volume of the cylinder is?
Options- A. 2759 cub. cm
- B. 2247 cub. cm
- C. 2614 cub. cm
- D. 2311 cub. cm Discuss
- 4. Find the surface area of a10cm x 4cm x 3cm brick
Options- A. 84
- B. 124
- C. 164
- D. 180 Discuss
- 5. How many bricks, each measuring 25 cm x 11.25 cm x 6 cm, will be needed to build a wall of 8 m x 6 m x 22.5 cm?
Options- A. 5600
- B. 6000
- C. 6400
- D. 7200 Discuss
- 6. 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
- 7. 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
- 8. 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
- 9. 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 Discuss
- 10. 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
Volume and Surface Area problems
Search Results
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: 20
Explanation:
Given height of the conical tent = 3 m
Diameter = 10 => Radius = D/2 = 10/2 = 5 m
Now, as the tent is in the conical form
Volume of the conical tent =
=> (22 x 5 x 5 x 3) / (7 x 3)
= 22 x 25/7
= 78.54 cu.m
Given each person requires 3.92 cu.m of air
=> Number of persons can be seated in the tent = 78.54/3.92 = 20.03 =~ 20
Correct Answer: 2311 cub. cm
Explanation:
Given Circumference of a circular base of a cylinder = 44 cm
We know that Circumference of a circle =
Now given the height of a cylinder h = 15 cm
Correct Answer: 164
Explanation:
surface area = [2(10*4 + 4*3 + 10*3)]sq.cm = 164 sq.cm
Correct Answer: 6400
Explanation:
Number of bricks = volume of the wall/volume of one brick
= (800 x 600 x 22.5)/(25 x 11.25 x 6 )= 6400
Correct Answer: 486 sq.cm
Explanation:
volume = = 729;
=> a = 9
surface area= 6 = (6 x 9 x 9) = 486 sq.cm
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: 3:4
Correct Answer: 24
Explanation:
Volume 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
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 =
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