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Find the number of bricks, each measuring 25 cm × 12.5 cm × 7.5 cm, required to construct a wall 12 m long, 5 m high and 0.25 m thick, while the sand and cement mixture occupies 5% of the totalvolume of wall.
- a)6080
- b)3040
- c)1520
- d)12160
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Find the number of bricks, each measuring 25 cm × 12.5 cm × ...
Volume of wall = 1200 × 500 × 25 = 15000000 cm3
Volume of cement = 5% of 15000000 = 750000 cm3
Remaining volume = 15000000 – 750000 = 14250000 cm3
Volume of a brick = 25 × 12.5 × 7.5 = 2343.75 cm3
Volume of cement = 5% of 15000000 = 750000 cm3
Remaining volume = 15000000 – 750000 = 14250000 cm3
Volume of a brick = 25 × 12.5 × 7.5 = 2343.75 cm3
Most Upvoted Answer
Find the number of bricks, each measuring 25 cm × 12.5 cm × ...
Volume of wall = 1200 × 500 × 25 = 15000000 cm3
Volume of cement = 5% of 15000000 = 750000 cm3
Remaining volume = 15000000 – 750000 = 14250000 cm3
Volume of a brick = 25 × 12.5 × 7.5 = 2343.75 cm3
Volume of cement = 5% of 15000000 = 750000 cm3
Remaining volume = 15000000 – 750000 = 14250000 cm3
Volume of a brick = 25 × 12.5 × 7.5 = 2343.75 cm3
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Community Answer
Find the number of bricks, each measuring 25 cm × 12.5 cm × ...
To find the number of bricks required to construct the wall, we first need to calculate the volume of the wall and then subtract the volume occupied by the sand and cement mixture.
Given:
Length of the wall = 12 m
Height of the wall = 5 m
Thickness of the wall = 0.25 m
Dimensions of each brick = 25 cm x 12.5 cm x 7.5 cm
Step 1: Convert the dimensions of the bricks to meters
Length of each brick = 25 cm = 0.25 m
Width of each brick = 12.5 cm = 0.125 m
Height of each brick = 7.5 cm = 0.075 m
Step 2: Calculate the volume of the wall
Volume of the wall = Length x Height x Thickness
= 12 m x 5 m x 0.25 m
= 15 m³
Step 3: Calculate the volume of each brick
Volume of each brick = Length x Width x Height
= 0.25 m x 0.125 m x 0.075 m
= 0.00234375 m³
Step 4: Calculate the total volume of bricks required
Total volume of bricks required = Volume of the wall / Volume of each brick
= 15 m³ / 0.00234375 m³
≈ 6400 bricks
Step 5: Account for the sand and cement mixture
Since the sand and cement mixture occupies 5% of the total volume of the wall, we need to subtract this volume from the total volume of bricks required.
Volume of sand and cement mixture = 5% of the volume of the wall
= 5/100 x 15 m³
= 0.75 m³
Adjusted total volume of bricks required = Total volume of bricks required - Volume of sand and cement mixture
= 15 m³ - 0.75 m³
= 14.25 m³
Step 6: Calculate the number of bricks required
Number of bricks required = Adjusted total volume of bricks required / Volume of each brick
≈ 14.25 m³ / 0.00234375 m³
≈ 6080 bricks
Therefore, the number of bricks required to construct the wall is 6080, which corresponds to option A.
Given:
Length of the wall = 12 m
Height of the wall = 5 m
Thickness of the wall = 0.25 m
Dimensions of each brick = 25 cm x 12.5 cm x 7.5 cm
Step 1: Convert the dimensions of the bricks to meters
Length of each brick = 25 cm = 0.25 m
Width of each brick = 12.5 cm = 0.125 m
Height of each brick = 7.5 cm = 0.075 m
Step 2: Calculate the volume of the wall
Volume of the wall = Length x Height x Thickness
= 12 m x 5 m x 0.25 m
= 15 m³
Step 3: Calculate the volume of each brick
Volume of each brick = Length x Width x Height
= 0.25 m x 0.125 m x 0.075 m
= 0.00234375 m³
Step 4: Calculate the total volume of bricks required
Total volume of bricks required = Volume of the wall / Volume of each brick
= 15 m³ / 0.00234375 m³
≈ 6400 bricks
Step 5: Account for the sand and cement mixture
Since the sand and cement mixture occupies 5% of the total volume of the wall, we need to subtract this volume from the total volume of bricks required.
Volume of sand and cement mixture = 5% of the volume of the wall
= 5/100 x 15 m³
= 0.75 m³
Adjusted total volume of bricks required = Total volume of bricks required - Volume of sand and cement mixture
= 15 m³ - 0.75 m³
= 14.25 m³
Step 6: Calculate the number of bricks required
Number of bricks required = Adjusted total volume of bricks required / Volume of each brick
≈ 14.25 m³ / 0.00234375 m³
≈ 6080 bricks
Therefore, the number of bricks required to construct the wall is 6080, which corresponds to option A.
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Question Description
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