1. MATHEMATICS
SBA
Student Name: Madonna Barbour
Candidate Number: 1501100383
Center Number: 150110
Subject: CSEC Mathematics
Territory: St George, St Vincent
Year: 2019-2020
3. 3
TABLE OF CONTENTS
Cover Page …………………………………………………………1
Project Title………………………………………………………...2
Table of Contents…………………………………………………3
Introduction ………………………………………………………..4
Method of data collection………………………..…………....5
Description of project…………………………………………..6
Presentation of data……………………………………………..7-10
Analysis of data…………………………………………………...11
Discussion of findings/Conclusion ……………………….12
4. 4
INTRODUCTION
Tiles are manufactured pieces of hard-wearing material such as Ceramic, cement, limestone
or even glass generally used for covering walls and other surfaces such as walls. Tiles are
also used to help decorate rooms of houses and other buildings. The use of tiles dates back
to the 15th century.
I am at the stage of tiling my 13 x 24 room and I’m considering which of the following size
of tile to choose?
12x 12 inches
12x18 inches
18x18 inches
24x24 inches
1. To find out the unit cost of each type of tile
2. To determine how many tiles of different sizes would be required to cover the entire
room
3. To determine the total cost of tiling the room using different sizes of tiles
4. To determine which dimension of tiles is more cost effective to tile the room.
5. 5
METHOD OF DATA COLLECTION
I visited several hardware stores to collect the prices of different dimensions of tiles.
The data was collected and placed in a table.
The room to be tiled was measured and the area of the room was calculated.
The area of the room was divided by the area of each size of tile to determine how
many tiles of each dimension are needed to completely tile the floor.
6. 6
DESCRIPTION OF PROJECT
This project was undertaken to find out the cost effectiveness of using two different
dimensions of tiles to tile the same floor area. The floor size is 10 feet x 10 feet, which is
304.8 cm x 304.8 cm.
The dimensions of Tile A are 18 cm x 18 cm and Tile B are 24 cm x 24 cm. Calculations
were done, tables were presented and several graphs were drawn to show the data
collected. After the data was presented, I then discussed the results from the table and
graphs. I then concluded that Tile B, which measures 24 cm x 24 cm, was more feasible
and cost effective to tile the 304.8 cm x 304.8 cm room.
7. 7
PRESENTATION OF DATA
Two dimensions of otherwise identical ceramic tiles were selected. Tile A has
dimensions 18 x 18 cm and Tiles B has dimensions 24 x 24 cm. At General Hardware
Store, the unit cost per tile A is $6.99, while the unit cost for tile B is $11.95. The size
of the floor is 10 feet x 10 feet, which is 304.8 cm x 304.08 cm.
Table 1: Showing type, dimension and prices of each tiles
Tile Type Dimension Price
A Ceramic 18 cm x 18 cm $6.99
B Ceramic 24 cm x 24 cm $11.95
Table 2: Showing calculation of the number of tiles needed and the total cost of tiling
the floor
Tile Area of floor Area of tile Number of tiles Cost of
tiling floor
A 304.8 cm x 304.8
cm = 92903 cm2
18 cm x 18 cm
= 324 cm2
92903 cm2
324 cm2 = 287
$6.99 X
287
= $2006.13
8. 8
B 304.8 cm x 304.8
cm = 92903 cm2
24 cm X 24 cm
=576 cm2
92903 cm2
576 cm2 = 162
$11.95 X
162
=$1935.90
Figure 1: Bar graph showing the total cost of tiling the floor-using Tile A or Tile B
$2,006.13
$1,935.90
$1,900.00
$1,920.00
$1,940.00
$1,960.00
$1,980.00
$2,000.00
$2,020.00
A B
Cost
Type of Tile
Graph Showing Total Costof Tiling Floor Using Tile
A or Tile B
9. 9
Figure 2: Pie Chart showing total cost of tiling floor-using Tile A or Tile B
$2,006.13
$1,935.90
Pie Chart Showing Total Cost of Tiling Floor Using
Tile A and B
A
B
10. 10
Figure 3: Bar graph showing the number of tiles needed to tile the floor-using Tile A
or Tile B
287
162
0
50
100
150
200
250
300
350
A B
Number
of
Tiles
Type of Tile
Graph Showing Number of Tiles needed to tile a
floor using Tile A and B
11. 11
ANALYSIS OF DATA
Table 1 shows 2 sizes of ceramic tiles of dimensions 18 cm x 18 cm and 24 cm x 24 cm,
with a price difference of $11.95 - $6.99 = $4.96 per tile.
Table 2 shows the calculations of the number of tiles of each size to cover a floor 10 feet
x 10 feet. The area of EACH size of tile is calculated in square units as 324 and 576. A total of
287 tiles of type A and 162 of type B are required, a difference of 125 tiles. The total cost of
tiling using tile A was $2006.13 and the total cost using tile B was $1935.90, a difference of
$70.23.
Figure 1 is a bar graph showing the total cost of tiling the floor-using Tile A and Tile B.
It can be seen that although the size of tile A is smaller than tile B and the total cost is higher for
Tile A than Tile B.
Figure 2 is a pie chart showing the total cost of tiling a floor-using Tile A and Tile B. It is
shown that Tile, A which is blue, is a slightly bigger portion of the pie chart than Tile B because
Tile A has a higher total cost.
Figure 3 shows a bar graph reflecting the number of tiles of each type needed to tile the
floor. It is shown that Tile A would require 125 more tiles to tile the floor than Tile B.
12. 12
DISCUSSION OF FINDINGS
The total cost of tiles using Tile A is $2006.13 and the total cost using Tile B is
$1935.90, a difference of $70.23.
It is important to note that if the labour cost were factored in, it would take less time to
cover the floor using less of Tile B since less of Tile B are require than Tile A. Hence, there
would have been savings on the labour cost as well. Additionally, a ceramic tiles in itself is
generally les expensive than any other type of tile, for example porcelain tiles.
In this project, it is more feasible and cost effective to tile a 304.8cm x 304.8cm room
using Tile B (24 cm x 24 cm).
13. 13
CONCLUSION
After careful analysis of the data gathered, I can conclude that it is more feasible to tile a
304.8cm x 304.8cm room using Tile B which has dimensions 24cm x 24cm. Tile B, being a
slightly bigger tile than Tile A, requires 125 less tiles to tile the same room. It is also more cost
effective also to tile the entire floor using Tile B not only because in using less tiles there will be
a savings of $70.23 on the overall cost of the tiles for the room.
