Find the number of bricks, each measuring 24 cm×12 cm × 8 cm, required to construct a wall 24 m long, 8m high and 60 cm thick if 10% of the wall is filled with mortar?Choices:- 450 4500 45000 460

Sure, here is the step by step solution:

Step 1: Convert all the measurements to the same unit. Here, we convert meters to centimeters because the size of the bricks is given in centimeters. So, the size of the wall becomes 2400 cm long, 800 cm high and 60 cm thick.

Step 2: Calculate the volume of the wall. The volume of a rectangular prism (the wall) is length × width × height. So, the volume of the wall is 2400 cm × 800 cm × 60 cm = 115200000 cubic cm.

Step 3: Calculate the volume of a brick. The volume of a rectangular prism (the brick) is length × width × height. So, the volume of a brick is 24 cm × 12 cm × 8 cm = 2304 cubic cm.

Step 4: Calculate the number of bricks needed to construct the wall without mortar. This is the volume of the wall divided by the volume of a brick. So, the number of bricks is 115200000 cubic cm / 2304 cubic cm = 50000 bricks.

Step 5: Calculate the number of bricks needed to construct the wall with mortar. If 10% of the wall is filled with mortar, then 90% of the wall is filled with bricks. So, the number of bricks needed is 90% of 50000 bricks = 45000 bricks.

So, the answer is 45000 bricks.