A wall 24m long, 0.4m thick and 6m high is constructed with the bricks each of dimensions 25cm X 16cm X 10cm. If the mortar occupies 1/10th of the volume of the wall, then find the number of bricks used in constructing the wall.

24*.4*6 * 0.9 / (.25*.16*.10) = 12960 bricks

1500

To find the number of bricks used in constructing the wall, we need to determine the volume of the wall including the mortar and then divide it by the volume of a single brick.

Step 1: Calculate the volume of the wall
The volume of the wall can be calculated by multiplying its length, height, and thickness.

Volume of the wall = Length × Height × Thickness
= 24m × 6m × 0.4m
= 57.6 cubic meters

Step 2: Calculate the volume of mortar
The problem states that the mortar occupies 1/10th of the volume of the wall. So, we need to calculate 1/10th of the volume of the wall.

Volume of mortar = (1/10) × Volume of the wall
= (1/10) × 57.6 cubic meters
= 5.76 cubic meters

Step 3: Calculate the volume of a single brick
The dimensions of a brick are given as 25cm × 16cm × 10cm. We need to convert these measurements to meters since the volume of the wall is in cubic meters.

Volume of a brick = Length × Width × Height
= 0.25m × 0.16m × 0.1m
= 0.004 cubic meters

Step 4: Calculate the number of bricks used
To get the number of bricks used, we divide the volume of the wall (excluding mortar) by the volume of a single brick.

Number of bricks used = Volume of the wall (excluding mortar) / Volume of a single brick
= (Volume of the wall - Volume of mortar) / Volume of a single brick
= (57.6 cubic meters - 5.76 cubic meters) / 0.004 cubic meters
= 51.84 / 0.004
= 12960 bricks

Therefore, the number of bricks used in constructing the wall is 12,960.