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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?
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To determine the number of bricks used to construct the wall, we need to calculate the volume of the wall and the volume of a single brick.
1. Volume of the wall:
The dimensions of the wall are given as 270 cm x 300 cm x 350 cm. The volume of the wall can be calculated by multiplying the three dimensions together:
Volume of the wall = 270 cm x 300 cm x 350 cm
= 28,350,000 cubic cm
2. Volume of a single brick:
The dimensions of a single brick are given as 22.5 cm x 11.25 cm x 8.75 cm. The volume of a single brick can be calculated by multiplying the three dimensions together:
Volume of a single brick = 22.5 cm x 11.25 cm x 8.75 cm
= 2,431.640625 cubic cm
3. Accounting for mortar:
It is stated that 1/8th of the space is covered by mortar. This means that 7/8th of the space is occupied by bricks. To calculate the effective volume of a single brick considering mortar, we can multiply the volume of a single brick by 7/8:
Effective volume of a single brick = (7/8) x Volume of a single brick
= (7/8) x 2,431.640625 cubic cm
= 2,135.25390625 cubic cm
4. Calculating the number of bricks:
To find the number of bricks used, we can divide the volume of the wall by the effective volume of a single brick:
Number of bricks = Volume of the wall / Effective volume of a single brick
= 28,350,000 cubic cm / 2,135.25390625 cubic cm
≈ 13,250.725
Rounding off to the nearest whole number, the number of bricks used to construct the wall is 13,251.
Therefore, the correct answer is option B) 11200 cm (rounded off to the nearest whole number).
1. Volume of the wall:
The dimensions of the wall are given as 270 cm x 300 cm x 350 cm. The volume of the wall can be calculated by multiplying the three dimensions together:
Volume of the wall = 270 cm x 300 cm x 350 cm
= 28,350,000 cubic cm
2. Volume of a single brick:
The dimensions of a single brick are given as 22.5 cm x 11.25 cm x 8.75 cm. The volume of a single brick can be calculated by multiplying the three dimensions together:
Volume of a single brick = 22.5 cm x 11.25 cm x 8.75 cm
= 2,431.640625 cubic cm
3. Accounting for mortar:
It is stated that 1/8th of the space is covered by mortar. This means that 7/8th of the space is occupied by bricks. To calculate the effective volume of a single brick considering mortar, we can multiply the volume of a single brick by 7/8:
Effective volume of a single brick = (7/8) x Volume of a single brick
= (7/8) x 2,431.640625 cubic cm
= 2,135.25390625 cubic cm
4. Calculating the number of bricks:
To find the number of bricks used, we can divide the volume of the wall by the effective volume of a single brick:
Number of bricks = Volume of the wall / Effective volume of a single brick
= 28,350,000 cubic cm / 2,135.25390625 cubic cm
≈ 13,250.725
Rounding off to the nearest whole number, the number of bricks used to construct the wall is 13,251.
Therefore, the correct answer is option B) 11200 cm (rounded off to the nearest whole number).
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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?
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 2024 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 2024 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 2024 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 2024 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?.
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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
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