How many bricks each 25cm by 15cm by 8cm , are required for a wall 32m long, 3m high and 40cm is thick.
Answers
SOLUTION :-
=> For wall,
=> Converting into same units, we have ,
=> Length of the wall = 32m = 32 × 100 = 3200cm. => Breath of the wall = 3m = 3 × 100 = 300cm.
=> And the height = 40cm.
=> For brick,
=>Length of the brick = 25cm.
=>Breath of the brick = 15cm
=>Height of the brick = 8cm.
Now, we have to find number of required bricks.
=>Number of required bricks = Volume of wall / Volume of brick
=> Number of required bricks = 3200 × 300 × 40 / 25 × 15 × 8 .
=>Number of required bricks = 128 × 20 × 5.
=>Number of required bricks = 12800.
Hence, the required number of bricks is 12800.
Given:
A wall is built that is 32m long, 3m high, 40cm thick with bricks that are 25 by 15 by 8 cm in dimensions.
To Find:
The total number of bricks used to build the wall is?
Solution:
1. The dimensions of the wall are 32m by 3m by 40cm.
2. The volume of the wall is calculated using the formula,
=> Volume of the wall = (length)x(width)x(height),
3. The units of the dimensions of the wall are not the same hence, convert the units such that all the units are similar.
=> 1 meter implies 100 centimeters,
=> 32m implies 32 x 100 = 3200 centimeters,
=> 3m implies 3 x 100 = 300 centimeters.
4. The volume of the wall is,
=> Volume of the wall = 3200 x 300 x 40,
=> Volume of the wall = 38400000 cm³.
5. The volume of each brick is,
=> The Volume of each brick = 25 x 15 x 8,
=> The volume of each brick = 3000 cm³.
6. Each brick occupies a volume of 3000 cm³,
=> The total number of bricks such that it occupies a total volume of 38400000 cm³ is (38400000/3000),
=> Total number of bricks used = 38400/3,
=> Total number of bricks used = 12800.
Therefore, the total number of bricks used to build the wall is 12800.