A school is soundproofing a band room with insulating tiles. The room is rectangular and is 30 feet long, 40 feet wide, and 12 feet high. All four walls, the floor and the ceiling will be covered, but a window that is 10 feet long by 4 feet high will not be covered. How many square feet of tiling is needed? If each tile is 8 inches by 8 inches, how many tiles should be ordered?

thanks =)

First compute the total area.

Floor and ceiling are 30x40 = 1200 sq ft each.
Two walls are 40 x 12 = 480 sq ft (each)
The other two wall are 30 x 12 = 360 sq ft (each)
Add them up and subtract the window area of 40 sq ft.
A = 2(1200 + 480 + 360) - 40 = ?
For the number of tiles needed, divide by the area of each tile, which is (2/3)^2 = 4/9 sq ft per tile.

i get the "how many square feet of tiling is needed?" part. but each tile is given in inches and area is in feet. i don't get how to convert it to inches. please explain again...

How many square feet of tiling is needed? 4040sq ft.
How many tiles should be ordered? ...

8 inches = 8/12 = 2/3 feet

so
8*8 = 64 in^2
or
2/3 * 2/3 = 4/9 ft^2 as Dr WLS said

You calculate the ares in square feet and divide it by 4/9 ft^2 /tile
In other words multiply the square feet needed by 9/4

To calculate the square footage of tiling needed for the entire room, we first need to find the surface area of each wall, the floor, and the ceiling and then subtract the area of the window.

1. Calculate the surface area of the four walls:
- Two walls measure 30ft x 12ft = 360 square feet each.
- The other two walls measure 40ft x 12ft = 480 square feet each.
- Total surface area of the four walls = (360 + 360 + 480 + 480) square feet = 1680 square feet.

2. Calculate the surface area of the floor:
- The floor measures 30ft x 40ft = 1200 square feet.

3. Calculate the surface area of the ceiling:
- The ceiling measures 30ft x 40ft = 1200 square feet.

4. Calculate the surface area of the window:
- The window measures 10ft x 4ft = 40 square feet.

5. Calculate the total surface area by adding up the surface areas of all the parts:
- Total surface area = (1680 + 1200 + 1200) square feet = 4080 square feet.

Now, let's calculate the number of tiles needed. Each tile measures 8 inches by 8 inches, which is equivalent to (1/12) feet by (1/12) feet.

6. Calculate the area of one tile:
- Area of one tile = (1/12)ft x (1/12)ft = (1/144) square feet.

7. Calculate the number of tiles needed:
- Number of tiles = Total surface area / Area of one tile
- Number of tiles = 4080 square feet / (1/144) square feet = 590,400 tiles.

Therefore, the school needs 4080 square feet of tiling and should order 590,400 tiles.