Discussion
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- Question
A boat having a length 3 m and breadth 2 m is floating on a lake. The boat sinks by 1 cm when a man gets on it. The mass of the man is:
Options- A. 12
- B. 60
- C. 72
- D. 90
- Correct Answer
- 60
ExplanationVolume of water displaced = (3 x 2 x 0.01) = 0.06 cu.m.
Mass of man = Volume of water displaced x Density of water
= (0.06 x 1000) kg
= 60 kg.
- 1. 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 sq.m
- B. 50 sq.m
- C. 51 sq.m
- D. 52 sq.m Discuss
- 2. A tank is 25 m long, 12 m wide and 6 m deep. The cost of plastering its walls and bottom at 75 paise per sq. m, is:
Options- A. Rs. 456
- B. Rs. 458
- C. Rs. 558
- D. Rs. 568 Discuss
- 3. The length of a rectangle is halved, while its breadth is tripled. What is the percentage change in area?
Options- A. 25% increase
- B. 50% increase
- C. 50% decrease
- D. 75% decrease Discuss
- 4. The difference between the length and breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is:
Options- A. 1520 sq.m
- B. 2420 sq.m
- C. 2480 sq.m
- D. 2520 sq.m Discuss
- 5. The ratio between the perimeter and the breadth of a rectangle is 5 : 1. If the area of the rectangle is 216 sq. cm, what is the length of the rectangle?
Options- A. 16cm
- B. 18cm
- C. 24cm
- D. .Data inadequate Discuss
- 6. What part of the volume of a cube is the pyramid whose base is the base of then cube and whose vertex is the center of the cube?
Options- A. 4:1
- B. 5:1
- C. 6:1
- D. 7:1 Discuss
- 7. The surface areas of three faces of a cuboid sharing a vertex are 20, 32 and 40 sq. mts. What is the volume of the cuboid in cub. m?
Options- A. ?3024
- B. 184
- C. 160
- D. 92 Discuss
- 8. The two sides holding the right-angle in a right-angled triangle are 3 cm and 4 cm long. The area of its circumcircle will be in sq.cm:
Options- A. 6.25pi
- B. 6.75pi
- C. 5pi
- D. 7pi Discuss
- 9. The diameters of two cylinders are in the ratio 3:2 and their volumes are equal. The ratio of their heights is
Options- A. 2:3
- B. 3:2
- C. 9:4
- D. 4:9 Discuss
- 10. In a quadrilateral PQRS, l_S= 90°. A circle (o, r) touches the sides PQ, QR, RS and SP at A, B, C and D respectively. If QR= 38 cm, RS = 25 cm and QA = 27 cm, find 'r'.
Options- A. 16 cm
- B. 12 cm
- C. 14 cm
- D. 10 cm Discuss
Volume and Surface Area problems
Search Results
Correct Answer: 49 sq.m
Correct Answer: Rs. 558
Explanation:
Area to be plastered= [2(l + b) x h] + (l x b)
= [2(25 + 12) x 6] + (25 x 12)
= (444 + 300)
= 744
Cost of plastering = Rs. 744 x (75/100)= Rs. 558
Correct Answer: 50% increase
Explanation:
Let original length = x and original breadth = y.
Original area = xy.
New length = x/2 and New breadth = 3y.
New area = (x/2 * 3y) = (3/2 )xy
Therefore, Increase % = [(1/2)xy * (1/xy) * 100] % = 50%
Correct Answer: 2520 sq.m
Explanation:
We have: (l - b) = 23 and 2(l + b) = 206 or (l + b) = 103.
Solving the two equations, we get: l = 63 and b = 40.
Area = (l x b) = (63 x 40) sq.m
= 2520 sq.m
Correct Answer: 18cm
Explanation:
2(l+b)/b = 5/1
=> 2l + 2b = 5b
=> 3b = 2l
=> b =(2/3) x l
Then, Area = 216 sq.cm
l x b = 216
=> l x [(2/3)x l] =216
=> l x l = 324
=> l = 18 cm.
Correct Answer: 6:1
Explanation:
Volume of the cube/volume of pyramid=
Correct Answer: 160
Correct Answer: 6.25pi
Correct Answer: 4:9
Correct Answer: 14 cm
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