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)6080b)3040c)1520d)12160Correct answer is option 'A'. Can you explain this answer?

Question

Find the number of bricks, each measuring 25 cm &#215; 12.5 cm &#215; 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)6080b)3040c)1520d)12160Correct answer is option 'A'. Can you explain this answer?

Answer

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

Answer

Ans :- a) 6080
volume of wall - 12*5*.25 = 15 m^3
volume of brick - 25*12.5*7.5 = 0.00234375 m^3
as per the question, 5% of 15m^3 = 0.75 m^3 is composed of sand and cement mixture.
15-0.75=14.25
total no. of brick s = 14.25/0.00234375 = 6080 bricks

Answer

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.

Similar Quant Doubts

Mixture A contain water and milk in the ratio 2 : 5 and mixture B contain them in the ratio 3 : 4 respectively. Equal quantities from both the mixture are taken and mixed to form mixture C. What is the ratio of milk to water in mixture C?

Vessels A and B contain mixture of milk and water in the ratios 3 : 4 and 3 : 2 respectively. In what ratio should quantities of mixtures be taken from A and B to form a mixture in which milk to water is in the ratio 6 : 5?

In a pot, the ratio of milk and water is 4 : 1. In another pot, the ratio of milk and water is 7 : 4. In what ratio mixture should be taken from both mixtures to make final mixture so that in final mixture the ratio of milk and water be 41 : 14?

There are two mixtures of honey and water, the quantity of honey in them being 25% and 75% of the mixture. If 2 gallons of the first are mixed with three gallons of the second, what will be the ratio of honey to water in the new mixture?

Top Courses for Quant

Related Content

Quant Courses

Related Exams

Related Question Answers

Related Searches

Company