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A wall is 24 m long, 8 m high and 60 cm thick. It is made of bricks, each measuring 24 cm × 12 cm × 8 cm. Given that 10% of the total volume of the wall is made of slurry, how many bricks will be required?
- a)43000
- b)45000
- c)42000
- d)44000
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A wall is 24 m long, 8 m high and 60 cm thick. It is made of bricks, e...
Given:
A wall is 24 m long, 8 m high and 60 cm thick
brick is 24 cm × 12 cm × 8 cm
10% of the wall is made of slurry
Formula:
Volume of Cuboid = Length
× height × breadth
Concept used:
Volume of the Wall = Number of bricks × Volume of the brick
Calculation:
Volume of the Wall = Number of bricks
× Volume of the brickif 10% of the wall is made of slurry then only 90% of the wall is made of bricks
let N be the number of bricks
24 m × 8 m × 60 cm
× 90%
= N ×
24 cm × 12 cm × 8 cm1m = 100cm
2400cm × 800cm × 60 cm × (90/100) = N × 24 cm × 12 cm × 8 cm ( 1m = 100cm)
N = 45000
The number of bricks is 45000.
Most Upvoted Answer
A wall is 24 m long, 8 m high and 60 cm thick. It is made of bricks, e...
Given:
A wall is 24 m long, 8 m high and 60 cm thick
brick is 24 cm × 12 cm × 8 cm
10% of the wall is made of slurry
Formula:
Volume of Cuboid = Length
× height × breadth
Concept used:
Volume of the Wall = Number of bricks × Volume of the brick
Calculation:
Volume of the Wall = Number of bricks
× Volume of the brickif 10% of the wall is made of slurry then only 90% of the wall is made of bricks
let N be the number of bricks
24 m × 8 m × 60 cm
× 90%
= N ×
24 cm × 12 cm × 8 cm1m = 100cm
2400cm × 800cm × 60 cm × (90/100) = N × 24 cm × 12 cm × 8 cm ( 1m = 100cm)
N = 45000
The number of bricks is 45000.
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Community Answer
A wall is 24 m long, 8 m high and 60 cm thick. It is made of bricks, e...
Step 1: Calculate the Volume of the Wall
To find the total volume of the wall, use the formula for volume:
Volume = Length × Height × Thickness
- Length = 24 m = 2400 cm
- Height = 8 m = 800 cm
- Thickness = 60 cm
Calculating the volume:
Volume of the wall = 2400 cm × 800 cm × 60 cm = 115200000 cm³
Step 2: Account for Slurry
Since 10% of the total volume is slurry:
Volume of slurry = 10% of 115200000 cm³ = 11520000 cm³
Thus, the volume occupied by bricks = Total volume - Volume of slurry:
Volume of bricks = 115200000 cm³ - 11520000 cm³ = 103680000 cm³
Step 3: Calculate the Volume of One Brick
Each brick measures:
- Length = 24 cm
- Width = 12 cm
- Height = 8 cm
Calculating the volume of one brick:
Volume of one brick = 24 cm × 12 cm × 8 cm = 2304 cm³
Step 4: Calculate the Number of Bricks Required
To find the total number of bricks needed:
Number of bricks = Volume of bricks / Volume of one brick
Calculating:
Number of bricks = 103680000 cm³ / 2304 cm³ = 45000 bricks
Conclusion
The total number of bricks required to construct the wall is 45000. Thus, the correct answer is option B.
To find the total volume of the wall, use the formula for volume:
Volume = Length × Height × Thickness
- Length = 24 m = 2400 cm
- Height = 8 m = 800 cm
- Thickness = 60 cm
Calculating the volume:
Volume of the wall = 2400 cm × 800 cm × 60 cm = 115200000 cm³
Step 2: Account for Slurry
Since 10% of the total volume is slurry:
Volume of slurry = 10% of 115200000 cm³ = 11520000 cm³
Thus, the volume occupied by bricks = Total volume - Volume of slurry:
Volume of bricks = 115200000 cm³ - 11520000 cm³ = 103680000 cm³
Step 3: Calculate the Volume of One Brick
Each brick measures:
- Length = 24 cm
- Width = 12 cm
- Height = 8 cm
Calculating the volume of one brick:
Volume of one brick = 24 cm × 12 cm × 8 cm = 2304 cm³
Step 4: Calculate the Number of Bricks Required
To find the total number of bricks needed:
Number of bricks = Volume of bricks / Volume of one brick
Calculating:
Number of bricks = 103680000 cm³ / 2304 cm³ = 45000 bricks
Conclusion
The total number of bricks required to construct the wall is 45000. Thus, the correct answer is option B.
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