๐Ÿ† Contest Gcash 50 Pesos #26

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Phi_Jmee

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Unang Tamang Sagot, PANALO!

Solving:
How many 30cm x 30cm tiles can be used in a room that needs to be tiled on all 4 sides of the room including the flooring? Assume that 4 sides of the room needs to be tiled from flooring up to ceiling.
Given:
  • 3 Meters Height of room from flooring to Ceiling
  • The measurement of one side of the room (1.5 Meters) is the same as all sides.


Last game for this week ๐Ÿคง๐Ÿ˜‚
 

Step 1: Convert Measurements to Centimeters​

  • Height of the room: 3 meters = 300 cm
  • Length of each side of the room: 1.5 meters = 150 cm

Step 2: Calculate the Area of the Floor​

The floor is a square with each side measuring 150 cm.

\text{Area of the floor} = 150 \text{cm} \times 150 \text{cm} = 22,500 \text{cm}^2

Step 3: Calculate the Area of the Walls​

Each wall is a rectangle with a height of 300 cm and a width of 150 cm. There are 4 walls.

\text{Area of one wall} = 300 \text{cm} \times 150 \text{cm} = 45,000 \text{cm}^2

\text{Total area of the walls} = 4 \times 45,000 \text{cm}^2 = 180,000 \text{cm}^2

Step 4: Calculate the Total Area to be Tiled​

Add the area of the floor and the area of the walls.

\text{Total area to be tiled} = 22,500 \text{cm}^2 + 180,000 \text{cm}^2 = 202,500 \text{cm}^2

Step 5: Calculate the Area of One Tile​

Each tile is 30 cm x 30 cm.

\text{Area of one tile} = 30 \text{cm} \times 30 \text{cm} = 900 \text{cm}^2

Step 6: Calculate the Number of Tiles Needed​

Divide the total area to be tiled by the area of one tile.

\text{Number of tiles} = \frac{202,500 \text{cm}^2}{900 \text{cm}^2} = 225

Therefore, 225 tiles are needed to tile the entire room, including the floor and all four walls.

225
 

Step 1: Convert Measurements to Centimeters​

  • Height of the room: 3 meters = 300 cm
  • Length of each side of the room: 1.5 meters = 150 cm

Step 2: Calculate the Area of the Floor​

The floor is a square with each side measuring 150 cm.

\text{Area of the floor} = 150 \text{cm} \times 150 \text{cm} = 22,500 \text{cm}^2

Step 3: Calculate the Area of the Walls​

Each wall is a rectangle with a height of 300 cm and a width of 150 cm. There are 4 walls.

\text{Area of one wall} = 300 \text{cm} \times 150 \text{cm} = 45,000 \text{cm}^2

\text{Total area of the walls} = 4 \times 45,000 \text{cm}^2 = 180,000 \text{cm}^2

Step 4: Calculate the Total Area to be Tiled​

Add the area of the floor and the area of the walls.

\text{Total area to be tiled} = 22,500 \text{cm}^2 + 180,000 \text{cm}^2 = 202,500 \text{cm}^2

Step 5: Calculate the Area of One Tile​

Each tile is 30 cm x 30 cm.

\text{Area of one tile} = 30 \text{cm} \times 30 \text{cm} = 900 \text{cm}^2

Step 6: Calculate the Number of Tiles Needed​

Divide the total area to be tiled by the area of one tile.

\text{Number of tiles} = \frac{202,500 \text{cm}^2}{900 \text{cm}^2} = 225

Therefore, 225 tiles are needed to tile the entire room, including the floor and all four walls.

225
may paganito pa ๐Ÿ˜† ako nga nag isip lang ๐Ÿคง
 
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