Discussion
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- Question
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
- Correct Answer
- 12 pi cub.cm
- 1. 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
- 2. 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
- 3. 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
- 4. Find the present worth of a bill of Rs.28000 due 2 years at 12% compound interest. Also find the true discount.
Options- A. 300
- B. 350
- C. 250
- D. 275 Discuss
- 5. A man buys a watch for Rs1950 in cash and sells it for Rs 2200 at a credit of 1 yr. The rate of interest is 10% per annum. Then he gains or loose how much amount?
Options- A. 50
- B. 55
- C. 15
- D. 45 Discuss
- 6. 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
- 7. 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 Discuss
- 8. 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
- 9. 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
- 10. 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
Volume and Surface Area problems
Search Results
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: 300
Explanation:
PW = = Rs.2500
TD = Amount - PW = 2800 - 2500 = Rs.300
Correct Answer: 50
Explanation:
S.P = P.W of Rs. 2200 due 1yr hence = Rs. [(2200 x 100)/100+(10 x 1)] = Rs.2000
Gain = Rs.(2000-1950) = Rs. 50
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: 1200
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
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