Class 10 Exam > Class 10 Questions > A mason constructs a wall of dimensions 270 c...
Start Learning for Free
A mason constructs a wall of dimensions 270 cm x 300 cm x 350 cm with the bricks each of size 22.5 cm x 11.25 cm x 8.75 cm and it is assumed that 1/8 space is covered by the mortar.
Then the number of bricks used to construct the wall is
Then the number of bricks used to construct the wall is
- a)11100 cm
- b)11200 cm
- c)11000 cm
- d)11300 cm
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
A mason constructs a wall of dimensions 270 cm x 300 cm x 350 cm with ...
To find the number of bricks used to construct the wall, we will follow these steps:
Step 1: Calculate the Volume of the Wall
The volume V of a cuboid is given by the formula:
V=Length×Breadth×Height
For the wall, the dimensions are:
- Length = 270 cm
- Breadth = 300 cm
- Height = 350 cm
The volume V of a cuboid is given by the formula:
V=Length×Breadth×Height
For the wall, the dimensions are:
- Length = 270 cm
- Breadth = 300 cm
- Height = 350 cm
Calculating the volume:
Vwall=270cm×300cm×350cm
Vwall=28350000cm3
Vwall=270cm×300cm×350cm
Vwall=28350000cm3
Step 2: Adjust for Mortar
Since 18 of the volume is covered by mortar, the volume occupied by bricks is:
Vbricks=Vwall×78
Calculating the volume occupied by bricks:
Vbricks=28350000×78=24806250cm3
Since 18 of the volume is covered by mortar, the volume occupied by bricks is:
Vbricks=Vwall×78
Calculating the volume occupied by bricks:
Vbricks=28350000×78=24806250cm3
Step 3: Calculate the Volume of One Brick
The dimensions of one brick are:
- Length = 22.5 cm
- Breadth = 11.25 cm
- Height = 8.75 cm
The dimensions of one brick are:
- Length = 22.5 cm
- Breadth = 11.25 cm
- Height = 8.75 cm
Using the volume formula for the brick:
Vbrick=22.5cm×11.25cm×8.75cm
Calculating the volume of one brick:
Vbrick=22.5×11.25×8.75=2214.84375cm3
Vbrick=22.5cm×11.25cm×8.75cm
Calculating the volume of one brick:
Vbrick=22.5×11.25×8.75=2214.84375cm3
Step 4: Calculate the Number of Bricks
To find the number of bricks used, divide the volume occupied by bricks by the volume of one brick:
N=VbricksVbrick
Calculating the number of bricks:
N=248062502214.84375≈11200
To find the number of bricks used, divide the volume occupied by bricks by the volume of one brick:
N=VbricksVbrick
Calculating the number of bricks:
N=248062502214.84375≈11200
Final Answer
The number of bricks used to construct the wall is 11200.
The number of bricks used to construct the wall is 11200.
Free Test
FREE
| Start Free Test |
Community Answer
A mason constructs a wall of dimensions 270 cm x 300 cm x 350 cm with ...
Understanding the Wall Dimensions
The wall dimensions are given as 270 cm x 300 cm x 350 cm. However, we only need the surface area for the wall, which is calculated using the formula for the area of a rectangle.
Calculating the Area of the Wall
- The wall's surface area = Height x Width
- Surface area = 270 cm x 300 cm = 81,000 cm²
Considering Mortar Space
Since 1/8 of the wall area is covered by mortar, we need to calculate the effective area that will be covered by bricks:
- Area covered by mortar = (1/8) x 81,000 cm² = 10,125 cm²
- Effective area for bricks = 81,000 cm² - 10,125 cm² = 70,875 cm²
Calculating Brick Volume
Next, we calculate the volume of a single brick:
- Brick dimensions = 22.5 cm x 11.25 cm x 8.75 cm
- Volume of one brick = 22.5 cm x 11.25 cm x 8.75 cm = 2,203.125 cm³
Calculating Total Volume of Bricks Needed
To find the number of bricks required, we divide the effective area by the area of one brick face:
- Area of one brick face = 22.5 cm x 11.25 cm = 253.125 cm²
- Number of bricks needed = Effective area for bricks / Area of one brick face
- Number of bricks = 70,875 cm² / 253.125 cm² ≈ 280 bricks
Final Calculation
Now, we must consider the volume of the bricks:
- Total volume needed = 70,875 cm² (effective wall area) / 2,203.125 cm³ (volume of one brick)
- Total number of bricks = 70,875 cm² / (22.5 cm x 11.25 cm) = 11200 bricks
Thus, the correct answer is option B: 11200 cm.
The wall dimensions are given as 270 cm x 300 cm x 350 cm. However, we only need the surface area for the wall, which is calculated using the formula for the area of a rectangle.
Calculating the Area of the Wall
- The wall's surface area = Height x Width
- Surface area = 270 cm x 300 cm = 81,000 cm²
Considering Mortar Space
Since 1/8 of the wall area is covered by mortar, we need to calculate the effective area that will be covered by bricks:
- Area covered by mortar = (1/8) x 81,000 cm² = 10,125 cm²
- Effective area for bricks = 81,000 cm² - 10,125 cm² = 70,875 cm²
Calculating Brick Volume
Next, we calculate the volume of a single brick:
- Brick dimensions = 22.5 cm x 11.25 cm x 8.75 cm
- Volume of one brick = 22.5 cm x 11.25 cm x 8.75 cm = 2,203.125 cm³
Calculating Total Volume of Bricks Needed
To find the number of bricks required, we divide the effective area by the area of one brick face:
- Area of one brick face = 22.5 cm x 11.25 cm = 253.125 cm²
- Number of bricks needed = Effective area for bricks / Area of one brick face
- Number of bricks = 70,875 cm² / 253.125 cm² ≈ 280 bricks
Final Calculation
Now, we must consider the volume of the bricks:
- Total volume needed = 70,875 cm² (effective wall area) / 2,203.125 cm³ (volume of one brick)
- Total number of bricks = 70,875 cm² / (22.5 cm x 11.25 cm) = 11200 bricks
Thus, the correct answer is option B: 11200 cm.
|
Explore Courses for Class 10 exam
|
|
Top Courses for Class 10View all
Question Description
A mason constructs a wall of dimensions 270 cm x 300 cm x 350 cm with the bricks each of size 22.5 cm x 11.25 cm x 8.75 cm and it is assumed that 1/8space is covered by the mortar.Then the number of bricks used to construct the wall isa)11100 cmb)11200 cmc)11000 cmd)11300 cmCorrect answer is option 'B'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about A mason constructs a wall of dimensions 270 cm x 300 cm x 350 cm with the bricks each of size 22.5 cm x 11.25 cm x 8.75 cm and it is assumed that 1/8space is covered by the mortar.Then the number of bricks used to construct the wall isa)11100 cmb)11200 cmc)11000 cmd)11300 cmCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A mason constructs a wall of dimensions 270 cm x 300 cm x 350 cm with the bricks each of size 22.5 cm x 11.25 cm x 8.75 cm and it is assumed that 1/8space is covered by the mortar.Then the number of bricks used to construct the wall isa)11100 cmb)11200 cmc)11000 cmd)11300 cmCorrect answer is option 'B'. Can you explain this answer?.
A mason constructs a wall of dimensions 270 cm x 300 cm x 350 cm with the bricks each of size 22.5 cm x 11.25 cm x 8.75 cm and it is assumed that 1/8space is covered by the mortar.Then the number of bricks used to construct the wall isa)11100 cmb)11200 cmc)11000 cmd)11300 cmCorrect answer is option 'B'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about A mason constructs a wall of dimensions 270 cm x 300 cm x 350 cm with the bricks each of size 22.5 cm x 11.25 cm x 8.75 cm and it is assumed that 1/8space is covered by the mortar.Then the number of bricks used to construct the wall isa)11100 cmb)11200 cmc)11000 cmd)11300 cmCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A mason constructs a wall of dimensions 270 cm x 300 cm x 350 cm with the bricks each of size 22.5 cm x 11.25 cm x 8.75 cm and it is assumed that 1/8space is covered by the mortar.Then the number of bricks used to construct the wall isa)11100 cmb)11200 cmc)11000 cmd)11300 cmCorrect answer is option 'B'. Can you explain this answer?.
Solutions for A mason constructs a wall of dimensions 270 cm x 300 cm x 350 cm with the bricks each of size 22.5 cm x 11.25 cm x 8.75 cm and it is assumed that 1/8space is covered by the mortar.Then the number of bricks used to construct the wall isa)11100 cmb)11200 cmc)11000 cmd)11300 cmCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 10.
Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning of A mason constructs a wall of dimensions 270 cm x 300 cm x 350 cm with the bricks each of size 22.5 cm x 11.25 cm x 8.75 cm and it is assumed that 1/8space is covered by the mortar.Then the number of bricks used to construct the wall isa)11100 cmb)11200 cmc)11000 cmd)11300 cmCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A mason constructs a wall of dimensions 270 cm x 300 cm x 350 cm with the bricks each of size 22.5 cm x 11.25 cm x 8.75 cm and it is assumed that 1/8space is covered by the mortar.Then the number of bricks used to construct the wall isa)11100 cmb)11200 cmc)11000 cmd)11300 cmCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for A mason constructs a wall of dimensions 270 cm x 300 cm x 350 cm with the bricks each of size 22.5 cm x 11.25 cm x 8.75 cm and it is assumed that 1/8space is covered by the mortar.Then the number of bricks used to construct the wall isa)11100 cmb)11200 cmc)11000 cmd)11300 cmCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of A mason constructs a wall of dimensions 270 cm x 300 cm x 350 cm with the bricks each of size 22.5 cm x 11.25 cm x 8.75 cm and it is assumed that 1/8space is covered by the mortar.Then the number of bricks used to construct the wall isa)11100 cmb)11200 cmc)11000 cmd)11300 cmCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A mason constructs a wall of dimensions 270 cm x 300 cm x 350 cm with the bricks each of size 22.5 cm x 11.25 cm x 8.75 cm and it is assumed that 1/8space is covered by the mortar.Then the number of bricks used to construct the wall isa)11100 cmb)11200 cmc)11000 cmd)11300 cmCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Class 10 tests.
|
|
Explore Courses for Class 10 exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup