A wall of length 10m was to be built across an open ground. The height of the wall is 4m and thickness of wall is 24cm. If this wall is to be built up with bricks whose dimensions are 24cm × 12cm × 8cm. How many bricks would be required.
Question
A wall of length 10m was to be built across an open ground. The height of the wall is 4m and thickness of wall is 24cm. If this wall is to be built up with bricks whose dimensions are 24cm × 12cm × 8cm. How many bricks would be required.
Solution
To solve this problem, we first need to find the volume of the wall and the volume of a brick.
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Convert all measurements to the same unit. Here, we'll use centimeters. The wall's dimensions are 1000cm (length) x 400cm (height) x 24cm (thickness).
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Calculate the volume of the wall by multiplying its dimensions: Volume of wall = 1000cm * 400cm * 24cm = 9600000 cubic cm.
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The dimensions of the brick are given as 24cm x 12cm x 8cm. Calculate the volume of the brick by multiplying these dimensions: Volume of brick = 24cm * 12cm * 8cm = 2304 cubic cm.
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To find out how many bricks are needed, divide the volume of the wall by the volume of one brick: Number of bricks = Volume of wall / Volume of brick = 9600000 cubic cm / 2304 cubic cm = 4166.67 bricks.
Since we can't have a fraction of a brick, we'll need to round up to the nearest whole number. So, we'll need approximately 4167 bricks to build the wall.
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