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Home ‣ Aptitude ‣ Volume and Surface Area Comments
- Question
Find the area of a square, one of whose diagonals is 3.8 m long.
Options- A. 4.22 sq.m
- B. 5.22 sq.m
- C. 6.22 sq.m
- D. 7.22 sq.m
- Correct Answer
- 7.22 sq.m
ExplanationArea of the square = = 1/2 * 3.8 * 3.8 = 7.22 sq.m
- 1. A rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered. If the area of the field is 680 sq. feet, how many feet of fencing will be required?
Options- A. 34
- B. 40
- C. 68
- D. 88 Discuss
- 2. What is the least number of squares tiles required to pave the floor of a room 15 m 17 cm long and 9 m 2 cm broad?
Options- A. 814
- B. 820
- C. 840
- D. 844 Discuss
- 3. A towel, when bleached, was found to have lost 20% of its length and 10% of its breadth. The percentage of decrease in area is:
Options- A. 10%
- B. 10.08%
- C. 20%
- D. 28% Discuss
- 4. Suppose that the medians BD, CE and AF of a triangle ABC meet at G. Then AG: GF is
Options- A. 1:2
- B. 2:1
- C. 1:3
- D. 2:3 Discuss
- 5. A metallic sheet is of rectangular shape with dimensions 48 m x 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 8m, the volume of the box (in m3) is:
Options- A. 4830
- B. 5120
- C. 6420
- D. 8960 Discuss
- 6. One side of a triangle has length 8 and a second side has length 5. Which of the following could be the area of the triangle?
Options- A. 24
- B. 20
- C. 26
- D. 34 Discuss
- 7. Two cylindrical buckets have their diameters in the ratio 3:1 and their heights are as 1: 3. Find the ratio of their volumes.
Options- A. 2:1
- B. 3:1
- C. 4:1
- D. 5:1 Discuss
- 8. The cost of the paint is rs.36.50 per kg. if 1kg of paint covers 16sq.ft, how much will it cost to paint outside of a cube having 8 feet each side
Options- A. Rs.962
- B. Rs.672
- C. Rs.546
- D. Rs.876 Discuss
- 9. A cuboid of dimension 24cm x 9cm x 8 cm is melted and smaller cubers are of side 3 cm is formed.find how many such cubes can be formed ?
Options- A. 64
- B. 56
- C. 48
- D. 40 Discuss
- 10. The base of a pyramid is a rectangle whose length and breadth are 16 cm and 12 cm respectively. If the length of all the lateral edges passing through the vertex of the right rectangular pyramid is 26 cm, then find the volume of the pyramid in cubic centimeter?
Options- A. 1536
- B. 1024
- C. 718
- D. 2072 Discuss
Volume and Surface Area problems
Search Results
Correct Answer: 88
Explanation:
We have: l = 20 ft and lb = 680 sq. ft.
So, b = 34 ft.
Length of fencing = (l + 2b) = (20 + 68) ft = 88 ft.
Correct Answer: 814
Explanation:
Length of largest tile = H.C.F. of 1517 cm and 902 cm = 41 cm.
Area of each tile = (41 x 41) sq.cm
Required number of tiles = 1517 x (902/41) x 41 = 814
Correct Answer: 28%
Explanation:
Let original length = x and original breadth = y.
Decrease in area = xy -[(80/100x) * (90/100y)]
=[(xy-(18/25)xy)]
=(7/25)xy
Decrease % =[(7/25)xy * (1/xy) * 100] =28%
Correct Answer: 2:1
Correct Answer: 5120
Correct Answer: 20
Explanation:
The maximum area of the triangle will come when the given sides are placed at right angles. If we take 8 as the base and 5 as the height the area = ½ x 8 x 5=20
Correct Answer: 3:1
Explanation:
d1 = and d2 = are diameters
Correct Answer: Rs.876
Explanation:
surface area of a cube= 6 x (8 x 8) = 384 sq.ft
quantity of paint required=(384/16)=24kg
cost of painting= 36.5 x 24 = Rs.876
Correct Answer: 64
Explanation:
Volume of cuboid = (24 x 9 x 8) cm = 1728 cu.cm
Volume of small cube = (3 x 3 x 3) cm = 27 cu.cm
So, No. of small cubes formed = 1728/27 = 64.
Correct Answer: 1536
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