Calculating the Number of Tiles Required to Cover a Floor
Introduction
Step-by-Step Calculation
Consider the following problem: The length and breadth of a tile are 10 cm and 12 cm. How many tiles will be required to cover a floor of a room whose length and breadth are 4 m and 3 m?Convert the Dimensions of the Room from Meters to Centimeters
First, we need to convert the dimensions of the room from meters to centimeters. Given that 1 meter 100 centimeters, the dimensions are as follows: Length of the room: 4 m 4 × 100 400 cm Breadth of the room: 3 m 3 × 100 300 cmCalculate the Area of the Room
Next, we calculate the area of the room:Area of the room (Length) × (Breadth) 400 cm × 300 cm 120,000 cm2
Calculate the Area of One Tile
Then, we find the area of one tile using its given dimensions:Area of one tile (Length) × (Breadth) 10 cm × 12 cm 120 cm2
Calculate the Number of Tiles Required
Finally, we determine the number of tiles needed by dividing the area of the room by the area of one tile:Therefore, 1,000 tiles will be required to cover the floor of the room.Number of tiles (Area of the room) / (Area of one tile) 120,000 cm2 / 120 cm2 1,000 tiles
Related Calculations
For a more detailed understanding, let’s consider the following calculations step-by-step using the given dimensions of the tile and the room:Tile length (L): 10 cm
Breadth of the tile (B): 12 cm
Length of the room (L1): 4 m 400 cm
Breadth of the room (W1): 3 m 300 cm
Tile size in terms of area: T L × B 10 × 12 cm2 120 cm2
Floor area: F L1 × W1 400 × 300 cm2 120,000 cm2
No. of tiles required to cover floor area: N F / T 120,000 cm2 / 120 cm2 1,000 tiles
Thus, it is clear that a minimum of 1,000 tiles will be required to cover the given floor area.