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A customer is tiling a shower, the main, back wall of which is 6' by 4'.
The tile they want to use is 3" x 6", which comes 20 pieces to a box.
How many pieces of this tile do they need for this project? (No Waste)​

Respuesta :

Answer:

a lot

Step-by-step explanation:

Answer:

192 pieces of tiles will be required.

Step-by-step explanation:

A customer is tiling a shower's back wall which is in the dimensions of 6' by 4'

This area of the wall is = 6 × 4 square feet = 24 feet²

Customer wants to cover this wall with the tiles measuring 3" by 6" or 3 inches by 6 inches.

Now we will convert these dimensions of the tiles in foot.

Since 12 inches = 1 foot

Therefore, 1 inch = [tex]\frac{1}{12}[/tex] foot

Dimensions of one tile in foot will be [tex]\frac{3}{12}[/tex] foot by [tex]\frac{6}{12}[/tex] foot.

In simplified form, dimensions of the tile is [tex]\frac{1}{4}[/tex] foot by [tex]\frac{1}{2}[/tex] foot.

Area of one tile = [tex]\frac{1}{4}\times \frac{1}{2}=\frac{1}{8}[/tex] square feet

Number of tiles = [tex]\frac{\text{Area of the wall}}{\text{Area of one tile}}[/tex]

                          = [tex]\frac{24}{\frac{1}{8}}[/tex]

                          = 24×8

                          = 192 tiles

Therefore, 192 pieces of tiles will be required.

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