SWTC Math_Science Center

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SWTC Math/Science
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Estimate carpeting and tile.
Introduction

If you are thinking about replacing the
flooring in a room of your house, you may
find the tips in this tutorial useful.
There are only two steps required:
1.) Determine the area of the room.

2.) Convert the area measurement to square
feet or square yards as necessary.
Introduction

All you will need to do these things are a
tape measure and a basic calculator.
Introduction

Assuming that your room is simply
rectangular in shape, measure the length
and the width in inches.
Length

Note: This diagram represents a
Utility Room     “bird’s eye” view of the room.
Introduction

Note the measurements for this
example...
Length = 144”
144 inches       Width = 90”

Utility Room
Introduction

To determine the area of the room,
multiply the length by the width.
Length = 144”
144 inches       Width = 90”

Area = Length x Width

Utility Room
Introduction

To determine the area of the room,
multiply the length by the width.
Length = 144”
144 inches       Width = 90”
144” x 90”
Area = 12,960 sq. in.

Utility Room
Introduction

What you convert to depends upon what
kind of flooring you are buying.
Click on the button next to
144 inches           the type of flooring that you
Vinyl tiles
Utility Room            Carpeting/ or sheet vinyl
Area = 12,960 sq. in.
Ceramic tile
Vinyl Tiles

You want to know how many vinyl tiles it
will take to cover the floor...

Room = 12,960 sq. in.

1 tile = 1 sq. ft.
etc...
Vinyl Tiles

Since tiles are sold by the square foot,
you will need to convert your room area
from square inches to square feet.
Vinyl Tiles

To do this, you need to know how many
square inches are equal to 1 square foot.
1 ft         12 in
1 ft

1 sq ft

Now picture represents 1using inch
This re-label the square square foot.
Vinyl Tiles

To do this, you need to know how many
square inches are equal to 1 square foot.
1 ft          12 in
1 ft

1 sq ft   Area = 12 in x 12 in
Complete the multiplication to find the area in
square inches.
Vinyl Tiles

To do this, you need to know how many
square inches are equal to 1 square foot.
1 ft        12 in
1 ft

1 sq ft     144 sq in
Now you know that 1 sq ft = 144 sq in
Vinyl Tiles

To finish, simply divide your room area by
144:

Room Area (sq in) ÷ 144 = Room Area (sq ft)

12,960 sq in ÷ 144 = 90 sq ft

The answer tells you that you need at least 90
vinyl tiles to cover the floor. Due to trimming
and cutting mistakes you will certainly need to
Vinyl Tiles

Click on this button if you would like to
see how to compute the extra amount of
tile required.
Click anywhere else to continue the
presentation.
Decision Time

Click on this button to go on the section
Click on this button to go to the section
Click on this button to end the
presentation:
Sheet vinyl and carpeting

You will need to change the room area
from square inches to square yards
because sheet vinyl and carpeting are sold
by the square yard.
This must be
converted to square
Utility Room            yards.
Area = 12,960 sq. in.
Sheet vinyl and carpeting

How many square inches are equal to one
square yard?
1 yd         36 in
1 yd

1 sq yd

Now re-label the square square yard.
This picture represents 1 using inch
Sheet vinyl and carpeting

How many square inches are equal to one
square yard?
1 yd           36 in
1 yd

1 sq yd   Area = 36 in x 36 in

Complete the multiplication to find the area in
square inches.
Sheet vinyl and carpeting

How many square inches are equal to one
square yard?
1 yd        36 in
1 yd

1 sq yd    1296 sq in
Now you know that 1 sq yd = 1296 sq in
Sheet vinyl and carpeting

To finish, simply divide your room area by
1296:

Room Area (sq in) ÷ 1296 = Room Area (sq yds)

12,960 sq in ÷ 1296 = 10 sq yds
The answer tells you that you need at least 10
sq yds of carpeting to cover the floor. Due to
the way carpeting and sheet vinyl is sold you
will probably end up buying somewhat more.
Decision Time

Click on this button to go to the section
Click on this button to end the
presentation:
Ceramic Tile

Ceramic tile is sold in a variety sizes.
To determine the number you have to
buy, compute the area of one tile in
square inches.
12 in
8 in
6 in              4 in
8 in

6 in

4 in
Area=144 sq 12
Area=12 in x in in   Area=8 in x in in Area=6 in x in in
Area=64 sq 8      Area=36 sq 6        Area=16 sq 4
Area=4 in x in in
Ceramic Tile

Now, divide room area by the area of one
tile.     Number of tiles = room area ÷ tile area

Let’s do the        Number of tiles = 12,960 sq in ÷ 144 sq in
12” tile first...
12 in          Number of tiles = 90 tiles (12” size)
8 in
6 in            4 in
8 in

6 in

4 in
Area=144 sq in       Area=64 sq in   Area=36 sq in   Area=16 sq in
Ceramic Tile

Now, divide room area by the area of one
tile.     Number of tiles = room area ÷ tile area
Number of tiles = 12,960 sq in ÷ 64 sq in

12 in       Number of tiles = 203 tiles (8” size)
8 in
6 in            4 in
8 in

6 in

4 in
Area=144 sq in   Area=64 sq in   Area=36 sq in   Area=16 sq in
…now the 8”
tile...
Ceramic Tile

Now, divide room area by the area of one
tile.     Number of tiles = room area ÷ tile area
Number of tiles = 12,960 sq in ÷ 36 sq in

12 in       Number of tiles = 360 tiles (6” size)
8 in
6 in            4 in
8 in

6 in

4 in
Area=144 sq in   Area=64 sq in   Area=36 sq in   Area=16 sq in
…next the 6”
tile...
Ceramic Tile

Now, divide room area by the area of one
tile.     Number of tiles = room area ÷ tile area
Number of tiles = 12,960 sq in ÷ 16 sq in

12 in       Number of tiles = 810 tiles (4” size)
8 in
6 in            4 in
8 in

6 in

4 in
Area=144 sq in   Area=64 sq in   Area=36 sq in   Area=16 sq in
…and lastly the
4” tile.
Ceramic Tile

Also remember that tile you choose has
Obviously the size ofyou will need to buy
an impact on the number to trimming and
more than computed due you need to
breakage.

12 in
8 in
6 in           4 in
8 in

6 in

4 in
90 tiles          203 tiles      360 tiles    810 tiles
Trim and Breakage
Allowances

Common sense tells you that it is not a
good idea to buy the exact amount of
vinyl or ceramic tile that you calculate for
a room.
Some manufacturers have suggested
estimate how much more tile to buy.
Allowances

These allowances are often expressed as
a percent.
For example, a tile manufacturer might
tell you to buy 10% extra.
Extra tiles required = Calculated Number of Tiles Needed x Manufacturer’s Allowance

Suppose you calculate that you need
370 tiles for your floor. If the
allowance is 10%, how many extra
Allowances

These allowances are often expressed as
a percent.
For example, a tile manufacturer might
tell you to buy 10% extra.
Change this to .10 when you
type it into Calculated Number
Extra tiles required =your calculator. of Tiles Needed x Manufacturer’s Allowance

Extra tiles required = 370 x 10%
Allowances

These allowances are often expressed as
a percent.
For example, a tile manufacturer might
tell you to buy 10% extra.
Extra tiles required = Calculated Number of Tiles Needed x Manufacturer’s Allowance

37 x .10
Extra tiles required = 370tiles
Allowances

If the allowance had been a different
amount, you would still follow the same
procedure.

15% Allowance:   Extra Needed = 370 tiles x 15%
Extra Needed = 370 tiles x .15
Extra Needed = 56