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- Question
The length of a rectangular plot is 20 metres more than its breadth. If the cost of fencing the plot @ 26.50 per metre is Rs. 5300, what is the length of the plot in metres?
Options- A. 40
- B. 120
- C. 50
- D. None of these
- Correct Answer
- None of these
ExplanationLet breadth = x metres.
Then, length = (x + 20) metres.
Perimeter = 5300 m = 200 m. 26.50
2[(x + 20) + x] = 200
2x + 20 = 100
2x = 80
x = 40.
Hence, length = x + 20 = 60 m.
- 1. A rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn. If the area of the lawn is 2109 sq. m, then what is the width of the road?
Options- A. 2.91 m
- B. 3 m
- C. 5.82 m
- D. None of these Discuss
- 2. Dodecahedron has 30 edges. How many vertices does it have?
Options- A. 12
- B. 16
- C. 20
- D. 10 Discuss
- 3. If the volume of a cylinder is 3850 cubic cm and height is 25 cm, what is its radius? (Take ? = 22/7)
Options- A. 7 cms
- B. 14 cms
- C. 10 cms
- D. 3.5 cms Discuss
- 4. The volume of metallic cylindrical pipe of uniform thickness is 748 c.c. Its length is 14 cm and its external radius is 9 cm. The thickness of the pipe is
Options- A. 0.5 cm
- B. 1.5 cm
- C. 1 cm
- D. 2 cm Discuss
- 5. At what point does the line 3x + y = -6 intercept the x-axis?
Options- A. (2,0)
- B. (-2,0)
- C. (0,-6)
- D. (0,6) Discuss
- 6. 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
- 7. What is the ratio between the volumes of a cylinder and cone of the same height and of the same diameter
Options- A. 2:1
- B. 3:1
- C. 4:1
- D. 5:1 Discuss
- 8. If the base of a pyramid is a square of 6cm side and its slant height is 5cm. Find its slant surface area.
Options- A. 50 sq.cm
- B. 30 sq.cm
- C. 60 sq.cm
- D. 40 sq.cm Discuss
- 9. The radius of two cylinders are in the ratio of 3:2 and their heights are in the ratio 3:7. The ratio of their volumes is :
Options- A. 4:7
- B. 7:4
- C. 28:27
- D. 27:28 Discuss
- 10. A cylindrical vessel of radius 6 cm is partially filled with water. By how much will the water level rise if a sphere of radius 5 cm is completely immersed in this water? (Take ? = 22/7)
Options- A. 6.67 cm
- B. 5.56 cm
- C. 6.94 cm
- D. 4.63 cm Discuss
Volume and Surface Area problems
Search Results
Correct Answer: 3 m
Explanation:
Area of the park = (60 x 40) = 2400 sq.m
Area of the lawn = 2109 sq.m
Area of the crossroads = (2400 - 2109) = 291 sq.m
Let the width of the road be x metres. Then,
60x + 40x - (x * x) = 291
=>(x * x) - 100x + 291 = 0
=>(x - 97)(x - 3) = 0
=>x=3
Correct Answer: 20
Correct Answer: 7 cms
Correct Answer: 1 cm
Correct Answer: (-2,0)
Correct Answer: 25 : 18
Correct Answer: 3:1
Explanation:
Volume of cylinder / Volume of cone = 3/1
Correct Answer: 60 sq.cm
Explanation:
Slant surface of a pyramid=1/2 perimeter of base slantheight
=1/2 x (4 x Side of squarebase) x Slantheight
Correct Answer: 27:28
Correct Answer: 4.63 cm
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