S.B.A. (1st Draft) - Mathematics PDF

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Mathematics...

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Caribbean Secondary Education Certificate Subject: Mathematics Institution: Petersfield Evening Institute Lecturer: Mrs. Sibbles Date of Submission: February 4, 2019 Group Members: Simone Pinnock Michalie Cooke Mike Edwards Sabrina Dennis

Project Title: An investigation into the most suitable ceramic size tiles used to cover a 144 square feet room whilst limiting expenses-Why use 18 by 18 inch tiles rather than 12 by 12 inch tiles? Introduction: One of the most expensive elements to be observed when building a concrete structure, is the flooring. Tiles are very important in setting the feel and look of an area. This project was done to determine the total amount of the most fitting size tiles that could cover the floor of 144 square feet. Even though tiling is costly, there are ways to avoid spending excessively, by conducting a thorough investigation into the most appropriate tiles to use.

Data Collection: A quotation was given by three (3) of the most popular hardware stores in SavLa-Mar, for the 18 inch tiles and the 12 inch tiles, after which the prices of each size tile was compared, to arrive at the best possible option. The measurement of the floor which was 144 square feet, was then divided by the area of the each tile.

Presentation of Data: The table below depicts the prices quoted for one of each size of tile from the three (3) major hardware stores. The information gathered was then inputted on a chart to clearly view the cost comparisons. HARDWARE STORE

TILE SIZE

PRICE

K-BAN HARDWARE

18*18 INCH

$ 345.75

NEPAUL’S

12*12 INCH 18*18 INCH

196.41 338.25

HARDWARE CLARKE’S

12*12 INCH 18*18 INCH

199.00 365.95

HARDWARE

12*12 INCH

175.69

COST COMPARISON CHART $400.00 $350.00 $300.00 $250.00 $200.00 $150.00 $100.00 $50.00 $0.00

K-BAN HARDWARE

NEPAUL'S HARDWARE 18 INCH TILE

CLARKE'S HARDWARE 12 INCH TILE

Analysis of Data: The data collected was then used in a formula to determine the amount of each tile that would be required to complete the floor of 144 square feet room. The floor, which is 144 square feet was divided by the area of each tile. For the 18 inch tile the formula used was 144/18 = 8 and for the 12 inch tile, 144/12 = 12. From this, it was understood that for the width of the room, it would take 8 (18 *18 inch) tiles and the same 8 tiles for the length of the room. The total amount of 18 inch tiles to cover the entire floor would equate to: 8 8 = 64 tiles. The total amount of 12 inch tiles would equate to 12 12 = 144 tiles. The table below shows the total cost for both size tiles at each hardware. From this, the most suitable option was determined.

HARDWARE STORE

TILE SIZE

AMOUNT NEEDED

TOTAL COST $

K-BAN HARDWARE

18*18 INCH

64

22,128.00

144

28,283.04

64

21,648.00

144

28,656.00

64

23,420.8

144

25,299.36

12*12 INCH

NEPAUL’S HARDWARE

18*18 INCH 12*12 INCH

CLARKE’S HARDWARE

18*18 INCH 12*12 INCH

Discussion of Findings: With the information gathered, it was observed that a 144 square feet room would take less 18 inch tiles to complete, rather than the 12 inch tiles. After that fact was determined, the prices for the 18 inch tiles were evaluated to arrive at the best possible option. Nepaul’s Hardware proved to have been the best option to purchase the total amount of tiles needed, with a price of $21,648.00. With that, the expenses were lowered due to proper investigation. Thus, it would prove cheaper to use 18 inch tiles instead of the 12 inch tiles. Conclusion: The SBA started with the assumption of group members, that it would take less 18 inch tiles and more 12 inch tiles to cover the floor of a 144 square feet room. However, some group members assumed that because the 18 inch tile is a bigger size than that of the 12 inch tile, it would cost more to purchase the bigger size. Therefore, a thorough investigation was required to determine if group members assumed correctly. With the information gathered, it was realized that even though the 18 inch tiles were bigger, it would cost less than the 12 inch tiles....