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- Question
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
- Correct Answer
- 64
ExplanationVolume 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. - 1. 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
- 2. 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
- 3. 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
- 4. 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
- 5. 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
- 6. 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
- 7. If ?ABC is an equilateral triangle of side 16 cm, then the length of altitude is
Options- A. 2?3 cm
- B. 4?3 cm
- C. 8?3 cm
- D. 5?3 cm Discuss
- 8. In ?PQR, PQ = PR = 18 cm, AB and AC are parallel to lines PR and PQ respectively. If A is the mid-point of QR, then what is the perimeter (in cm) of quadrilateral ABPC?
Options- A. 18
- B. 28
- C. 32
- D. 36 Discuss
- 9. The volume of a spherical balloon is increased by 700%. What is the percentage increase in its surface area?
Options- A. 300%
- B. 400%
- C. 450%
- D. 500% Discuss
- 10. Considering two opposite vertices of a square of side ?a? as centres, two circular arcs are drawn within the square joining the other two vertices, thus forming two sectors. What is the common area in these two sectors?
Options- A. a2?+12
- B. a
- C. a2?2-1
- D. ?a/2 Discuss
Volume and Surface Area problems
Search Results
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: 3:1
Explanation:
d1 = and d2 = are diameters
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: 7.22 sq.m
Explanation:
Area of the square = = 1/2 * 3.8 * 3.8 = 7.22 sq.m
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: 1536
Correct Answer: 8?3 cm
Correct Answer: 36
Correct Answer: 300%
Correct Answer: a2?2-1
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