Discussion
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- Question
The surface area of a cube is 1734 sq. cm. Find its volume
Options- A. 2334 cubic.cm
- B. 3356 cubic.cm
- C. 4913 cubic.cm
- D. 3478 cubic.cm
- Correct Answer
- 4913 cubic.cm
ExplanationLet the edge of the cube bea. Then,
6 = 1734
=> a = 17 cm.
Volume = = = 4193 cu.cm
- 1. How many cubes of 10cm edge can be put in a cubical box of 1m edge
Options- A. 10
- B. 100
- C. 1000
- D. 10000 Discuss
- 2. How many bricks each measuring 25cm x 11.25cm x 6cm, will be needed to build a wall 8m x 6m x 22.5m
Options- A. 5600
- B. 600
- C. 6400
- D. 7200 Discuss
- 3. 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
- B. 50
- C. 53.5
- D. 55 Discuss
- 4. A hall is 15 m long and 12 m broad. If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls, the volume of the hall is:
Options- A. 720
- B. 900
- C. 1200
- D. 1800 Discuss
- 5. A rectangular block 6 cm by 12 cm by 15 cm is cut up into an exact number of equal cubes. Find the least possible number of cubes.
Options- A. 30
- B. 40
- C. 10
- D. 20 Discuss
- 6. The volume of a wall, 5 times as high as it is broad and 8 times as long as it is high, is 12.8 cu. meters. Find the breadth of the wall.
Options- A. 40cm
- B. 30cm
- C. 20cm
- D. 10cm Discuss
- 7. The diagonal of a rectangle is sqrt(41) cm. and its area is 20 sq. cm. The perimeter of the rectangle must be:
Options- A. 9 cm
- B. 18 cm
- C. 20 cm
- D. 41 cm Discuss
- 8. 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
- 9. 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
- 10. 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
Volume and Surface Area problems
Search Results
Correct Answer: 1000
Explanation:
Number of cubes= (100x100x100) / (10x10x10)= 1000
Correct Answer: 6400
Explanation:
No. of bricks= volume of the wall/volume of 1 brick
= (800 x 600 x 22.5) / (25 x 11.25 x 6) = 6400
Correct Answer: 49
Explanation:
Area of the wet surface = [2(lb + bh + lh) - lb]
= 2(bh + lh) + lb
= [2 (4 x 1.25 + 6 x 1.25) + 6 x 4]
= 49
Correct Answer: 1200
Correct Answer: 40
Explanation:
Volume of the block = (6 x 12 x 15) cu.cm = 1080 cu.cm
Side of the largest cube = H.C.F. of 6 cm, 12 cm, 15 cm
= 3 cm.
Volume of this cube = (3 x 3 x 3) cu.cm = 27 cu.cm
Number of cubes = = 40.
Correct Answer: 40cm
Explanation:
Let the breadth of the wall be x metres.
Then, Height = 5x metres and Length = 40x metres.
x * 5x * 40x = 12.8
=>
=> x = 4/10 m
=> x = (4/10)*100 = 40 cm
Correct Answer: 18 cm
Explanation:
= =40
Also, lb=20
= 41 + 40 =81
(l + b) = 9.
Perimeter = 2(l + b) = 18 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: 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: 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.
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