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- Question
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
- Correct Answer
- 88
ExplanationWe have: l = 20 ft and lb = 680 sq. ft.
So, b = 34 ft.
Length of fencing = (l + 2b) = (20 + 68) ft = 88 ft.
- 1. 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
- 2. 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
- 3. 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
- 4. 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
- 5. If the area of three Adjacent faces of a cuboidal box are 120 cm², 72 cm², and 60 cm² respectively, then the volume of the box is
Options- A. 640 cub.cm
- B. 720 cub.cm
- C. 860 cub.cm
- D. 945 cub.cm Discuss
- 6. 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 Discuss
- 7. 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
- 8. 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
- 9. 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
- 10. 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
Volume and Surface Area problems
Search Results
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: 720 cub.cm
Correct Answer: 7.22 sq.m
Explanation:
Area of the square = = 1/2 * 3.8 * 3.8 = 7.22 sq.m
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.
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