Discussion
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- Question
The size of the wooden block is 5 x 10 x 20 cm .How many such blocks will be required to construct a solid wooden cube of minimum size?
Options- A. 6
- B. 8
- C. 12
- D. 16
- Correct Answer
- 8
ExplanationSide of smallest cube = L.C.M of 5, 10, 20 = 20cm
Volume of the cube = (20 x 20 x 20)cu.cm = 8000 cu.cm
Volume of the block= (5 x 10 x 20)cu.cm = 1000 cu.cm
Number of blocks = (8000/1000) = 8
- 1. 50 men took a dip in a water tank 40 m long and 20 m broad on a religious day. If the average displacement of water by a man is 4 cu.m , then the rise in the water level in the tank will be:
Options- A. 20 cm
- B. 25 cm
- C. 35 cm
- D. 50 cm Discuss
- 2. A town has a population of 4000 requires 140 liters of water per head. It has a tank measuring 18m x 12m x 8m. The water of this tank will suffice for ____ days?
Options- A. 3
- B. 4
- C. 5
- D. 2 Discuss
- 3. The dimensions of an open box are 50 cm, 40 cm and 23 cm. Its thickness is 2 cm. If 1 cubic cm of metal used in the box weighs 0.5 gms, find the weight of the box.
Options- A. 8.04kg
- B. 8.14kg
- C. 8.24kg
- D. 9.04kg Discuss
- 4. Three solid cubes of sides 1 cm, 6 cm and 8 cm are melted to form a new cube. Find the surface area of the cube so formed
Options- A. 486
- B. 586
- C. 686
- D. 786 Discuss
- 5. The diagonal of a cube is 63 cm. Find its surface area
Options- A. 216 sq.cm
- B. 316 sq.cm
- C. 416 sq.cm
- D. 516 sq.cm Discuss
- 6. A cistern of capacity 8000 litres measures externally 3.3 m by 2.6 m by 1.1 m and its walls are 5 cm thick. The thickness of the bottom is:
Options- A. 90 cm
- B. 1 dm
- C. 1 m
- D. 1.1 cm Discuss
- 7. Find the length of the longest pole that can be placed in a room 12 m long 8m broad and 9m high.
Options- A. 14m
- B. 15m
- C. 16m
- D. 17m Discuss
- 8. In a shower, 5 cm of rain falls. The volume of water that falls on 1.5 hectares of ground is:
Options- A. 75 cubic meter
- B. 750 cubic meter
- C. 7500 cubic meter
- D. 75000 cubic meter Discuss
- 9. Two cones have their heights in the ratio 1:3 and the radii of their bases in the ratio 3:1. Find the ratio of their volumes.
Options- A. 3:1
- B. 2:1
- C. 4:1
- D. 5:1 Discuss
- 10. A hollow iron pipe is 21 cm long and its external diameter is 8 cm. If the thickness of the pipe is 1 cm and iron weighs 8g/cu.cm, then the weight of the pipe is
Options- A. 3.6 kg
- B. 3.696 kg
- C. 36 kg
- D. 36.9 kg Discuss
Volume and Surface Area problems
Search Results
Correct Answer: 25 cm
Explanation:
Total volume of water displaced =(4 x 50) cu.m = 200 cu.m
Rise in water level = =0.25m = 25cm
Correct Answer: 3
Explanation:
Water required = 4000 x 140 = 560000 lit = 560 cu.m (1 cu.m = 1000 lit)
Volume of tank = 18 x 12 x 8 = 1728 cu.m
Water of this tank will suffice for = 1728/560 = 3 days.
Correct Answer: 8.04kg
Explanation:
Volume of the metal used in the box = External Volume - Internal Volume
= [(50 x 40 x 23) - (44 x 34 x 20)] cu.cm
= 16080 cu.cm
Weight of the metal =[(16080 x 0.5)/1000] kg = 8.04 kg.
Correct Answer: 486
Explanation:
Volume of new cube = =
Edge of new cube = = 9cm
Surface area of the new cube = ( 6 x 9 x 9) sq.cm = 486 sq.cm
Correct Answer: 216 sq.cm
Explanation:
Let the edge of the cube be a.
so, the diagonal a =
=> a=6
Surface area = = 6 x 6 x 6 = 216 sq.cm
Correct Answer: 1 dm
Correct Answer: 17m
Explanation:
Length of longest pole = Length of the diagonal of the room
Correct Answer: 750 cubic meter
Explanation:
1 hectare = 10,000 Sq.m
So, Area = (1.5 x 10000) Sq.m
Depth = 5/100 m = 1/20 m
Therefore, Volume = Area X Depth = 15000 x (1/20)= 750 cu.m
Correct Answer: 3:1
Explanation:
Correct Answer: 3.696 kg
Explanation:
External radius = 4 cm
Internal radius = 3 cm
Volume of iron = =
Weight of iron = (462 x 8)gm = 3696 gm = 3.696 kg
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