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- Question
A hall is 15 m long and 12 m broad. If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls, the volume of the hall is:
Options- A. 720
- B. 900
- C. 1200
- D. 1800
- Correct Answer
- 1200
- 1. A rectangular block 6 cm by 12 cm by 15 cm is cut up into an exact number of equal cubes. Find the least possible number of cubes.
Options- A. 30
- B. 40
- C. 10
- D. 20 Discuss
- 2. A right triangle with sides 3 cm, 4 cm and 5 cm is rotated the side of 3 cm to form a cone. The volume of the cone so formed is:
Options- A. 12 pi cub.cm
- B. 15 pi cub.cm
- C. 16 pi cub.cm
- D. 20 pi cub.cm Discuss
- 3. How many cubes of 3cm edge can be cut out of a cube of 18cm edge
Options- A. 36
- B. 232
- C. 216
- D. 484 Discuss
- 4. If each edge of a cube is increased by 50%, find the percentage increase in Its surface area
Options- A. 125%
- B. 150%
- C. 175%
- D. 110% Discuss
- 5. The true discount on Rs.1600 due to after a certain of 5% per annum is Rs.160. The time after which it is due is
Options- A. 27months
- B. 23months
- C. 20months
- D. 12months Discuss
- 6. A cistern 6m long and 4 m wide contains water up to a depth of 1 m 25 cm. The total area of the wet surface is:
Options- A. 49
- B. 50
- C. 53.5
- D. 55 Discuss
- 7. How many bricks each measuring 25cm x 11.25cm x 6cm, will be needed to build a wall 8m x 6m x 22.5m
Options- A. 5600
- B. 600
- C. 6400
- D. 7200 Discuss
- 8. How many cubes of 10cm edge can be put in a cubical box of 1m edge
Options- A. 10
- B. 100
- C. 1000
- D. 10000 Discuss
- 9. The surface area of a cube is 1734 sq. cm. Find its volume
Options- A. 2334 cubic.cm
- B. 3356 cubic.cm
- C. 4913 cubic.cm
- D. 3478 cubic.cm Discuss
- 10. The volume of a wall, 5 times as high as it is broad and 8 times as long as it is high, is 12.8 cu. meters. Find the breadth of the wall.
Options- A. 40cm
- B. 30cm
- C. 20cm
- D. 10cm Discuss
Volume and Surface Area problems
Search Results
Correct Answer: 40
Explanation:
Volume of the block = (6 x 12 x 15) cu.cm = 1080 cu.cm
Side of the largest cube = H.C.F. of 6 cm, 12 cm, 15 cm
= 3 cm.
Volume of this cube = (3 x 3 x 3) cu.cm = 27 cu.cm
Number of cubes = = 40.
Correct Answer: 12 pi cub.cm
Correct Answer: 216
Explanation:
number of cubes=(18 x 18 x 18) / (3 x 3 x 3) = 216
Correct Answer: 125%
Explanation:
Let the edge = a cm
So increase by 50 % = a + a/2 = 3a/2
Total surface Area of original cube =
TSA of new cube = = =
Increase in area = =
Increase % = = 125%
Correct Answer: 27months
Explanation:
P.W. = Rs. (1600 - 160) = Rs. 1440
? S.I. on Rs.1440 at 5% is Rs. 160.
? Time = [100 * 160 / 1440 * 5] = 20/9 years = [20/9 * 12] months = 27 months.
Correct Answer: 49
Explanation:
Area of the wet surface = [2(lb + bh + lh) - lb]
= 2(bh + lh) + lb
= [2 (4 x 1.25 + 6 x 1.25) + 6 x 4]
= 49
Correct Answer: 6400
Explanation:
No. of bricks= volume of the wall/volume of 1 brick
= (800 x 600 x 22.5) / (25 x 11.25 x 6) = 6400
Correct Answer: 1000
Explanation:
Number of cubes= (100x100x100) / (10x10x10)= 1000
Correct Answer: 4913 cubic.cm
Explanation:
Let the edge of the cube bea. Then,
6 = 1734
=> a = 17 cm.
Volume = = = 4193 cu.cm
Correct Answer: 40cm
Explanation:
Let the breadth of the wall be x metres.
Then, Height = 5x metres and Length = 40x metres.
x * 5x * 40x = 12.8
=>
=> x = 4/10 m
=> x = (4/10)*100 = 40 cm
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