A community hall is in the shape of a cuboid the hall is 40m long 15m high and 3m wide. 10 litre paint covers 25m squared costs ?10. 1m squared floor tiles costs ?3. Work out the total costs of tiles and paints

Respuesta :

Answer:

Total cost for tiles and paints is $924.  

Step-by-step explanation:

We have been given that a community hall is in the shape of a cuboid. The hall is 40m long 15m high and 3m wide.

The paint will be required for 4 walls and ceiling.

Let us find area of walls and ceiling.

[tex]\text{Area of walls and ceiling}=(2*40*15)+(2*3*15)+(40*3)[/tex]

[tex]\text{Area of walls and ceiling}=1200+90+120[/tex]

[tex]\text{Area of walls and ceiling}=1410[/tex]

Therefore, the area of walls and ceiling is 1410 square meters.

Given: Cost for 10 litre of paint is $10 and 10 litre paint covers 25 square meter. Therefore,  

[tex]\text{ The total painting cost}=10*(\frac{1410}{25})[/tex]

[tex]\text{ The total painting cost}=10*56.4=564[/tex]

Therefore, the total painting cost is $564.  

Tiles will be required for floor. Let us find the area of floor.

[tex]\text{Area of floor} = 40*3\text{ square meters}[/tex]

[tex]\text{Area of floor} =120\text{ square meters}[/tex]

Given: 1m squared floor tiles costs $3. So,  

[tex]\text{Total cost for tiles} = 3*120 = 360[/tex]

Therefore, the total tiles cost is $360.

Now let us find combined total cost of tiles and paint.

[tex]\text{Combined total cost}= 564+360 = 924[/tex]

Therefore, the combined total cost of tiles and paint is $924.