Tile worksheet

1. Tiles needed (with waste): 307

1. Find the surface area: multiply the length by the width

   $6\times 3$$=18\text{\hspace{0.17em}m²}$

2. Find the space each tile really takes: add the grout gap to its length and to its width, then multiply (the gap is changed from mm to cm first)

   $\left(26+0.3\right)\times \left(24+0.3\right)$$=639.09\text{\hspace{0.17em}cm²}$

3. Change that to m², the same unit as your surface (10000 cm² per m²)

   $\frac{639.09}{\mathrm{10,000}}$$=0.063909\text{\hspace{0.17em}m²}$

4. Divide the surface area by the space one tile takes to see how many tiles cover it

   $\frac{18}{0.063909}$$=281.6505$

5. Add 9% for cuts and breakage, then round up to whole tiles

   $281.6505\times 1+0.09$$=306.999$$=\text{rounded up:}307$

6. Divide by the 9 tiles in each box and round up, since stores sell whole boxes

   $\frac{307}{9}$$=34.1111$$=\text{rounded up:}35$

2. Tiles needed (with waste): 279

1. Find the surface area: multiply the length by the width

   $5\times 3$$=15\text{\hspace{0.17em}m²}$

2. Find the space each tile really takes: add the grout gap to its length and to its width, then multiply (the gap is changed from mm to cm first)

   $\left(24+0.3\right)\times \left(25+0.3\right)$$=614.79\text{\hspace{0.17em}cm²}$

3. Change that to m², the same unit as your surface (10000 cm² per m²)

   $\frac{614.79}{\mathrm{10,000}}$$=0.061479\text{\hspace{0.17em}m²}$

4. Divide the surface area by the space one tile takes to see how many tiles cover it

   $\frac{15}{0.061479}$$=243.9858$

5. Add 14% for cuts and breakage, then round up to whole tiles

   $243.9858\times 1+0.14$$=278.1438$$=\text{rounded up:}279$

6. Divide by the 10 tiles in each box and round up, since stores sell whole boxes

   $\frac{279}{10}$$=27.9$$=\text{rounded up:}28$

3. Tiles needed (with waste): 80

1. Find the space each tile really takes: add the grout gap to its length and to its width, then multiply (the gap is changed from mm to cm first)

   $\left(40+0.3\right)\times \left(34+0.3\right)$$=\mathrm{1,382.29}\text{\hspace{0.17em}cm²}$

2. Change that to m², the same unit as your surface (10000 cm² per m²)

   $\frac{\mathrm{1,382.29}}{\mathrm{10,000}}$$=0.138229\text{\hspace{0.17em}m²}$

3. Divide the surface area by the space one tile takes to see how many tiles cover it

   $\frac{10}{0.138229}$$=72.3437$

4. Add 10% for cuts and breakage, then round up to whole tiles

   $72.3437\times 1+0.1$$=79.5781$$=\text{rounded up:}80$

5. Divide by the 10 tiles in each box and round up, since stores sell whole boxes

   $\frac{80}{10}$$=8$$=\text{rounded up:}8$

4. Tiles needed (with waste): 210

1. Find the surface area: multiply the length by the width

   $12\times 10$$=120\text{\hspace{0.17em}ft²}$

2. Find the space each tile really takes: add the grout gap to its length and to its width, then multiply

   $\left(8+0.11\right)\times \left(11+0.11\right)$$=90.1021\text{\hspace{0.17em}in²}$

3. Change that to ft², the same unit as your surface (144 in² per ft²)

   $\frac{90.1021}{144}$$=0.62570903\text{\hspace{0.17em}ft²}$

4. Divide the surface area by the space one tile takes to see how many tiles cover it

   $\frac{120}{0.62570903}$$=191.7824$

5. Add 9% for cuts and breakage, then round up to whole tiles

   $191.7824\times 1+0.09$$=209.0429$$=\text{rounded up:}210$

6. Divide by the 11 tiles in each box and round up, since stores sell whole boxes

   $\frac{210}{11}$$=19.0909$$=\text{rounded up:}20$

5. Tiles needed (with waste): 82

1. Find the surface area: multiply the length by the width

   $5\times 2$$=10\text{\hspace{0.17em}m²}$

2. Find the space each tile really takes: add the grout gap to its length and to its width, then multiply (the gap is changed from mm to cm first)

   $\left(32+0.2\right)\times \left(40+0.2\right)$$=\mathrm{1,294.44}\text{\hspace{0.17em}cm²}$

3. Change that to m², the same unit as your surface (10000 cm² per m²)

   $\frac{\mathrm{1,294.44}}{\mathrm{10,000}}$$=0.129444\text{\hspace{0.17em}m²}$

4. Divide the surface area by the space one tile takes to see how many tiles cover it

   $\frac{10}{0.129444}$$=77.2535$

5. Add 6% for cuts and breakage, then round up to whole tiles

   $77.2535\times 1+0.06$$=81.8887$$=\text{rounded up:}82$

6. Divide by the 13 tiles in each box and round up, since stores sell whole boxes

   $\frac{82}{13}$$=6.3077$$=\text{rounded up:}7$

6. Tiles needed (with waste): 157

1. Find the surface area: multiply the length by the width

   $11\times 11$$=121\text{\hspace{0.17em}ft²}$

2. Find the space each tile really takes: add the grout gap to its length and to its width, then multiply

   $\left(12+0.1\right)\times \left(10+0.1\right)$$=122.21\text{\hspace{0.17em}in²}$

3. Change that to ft², the same unit as your surface (144 in² per ft²)

   $\frac{122.21}{144}$$=0.84868056\text{\hspace{0.17em}ft²}$

4. Divide the surface area by the space one tile takes to see how many tiles cover it

   $\frac{121}{0.84868056}$$=142.5743$

5. Add 10% for cuts and breakage, then round up to whole tiles

   $142.5743\times 1+0.1$$=156.8317$$=\text{rounded up:}157$

6. Divide by the 10 tiles in each box and round up, since stores sell whole boxes

   $\frac{157}{10}$$=15.7$$=\text{rounded up:}16$

7. Tiles needed (with waste): 134

1. Find the surface area: multiply the length by the width

   $3\times 3$$=9\text{\hspace{0.17em}m²}$

2. Find the space each tile really takes: add the grout gap to its length and to its width, then multiply (the gap is changed from mm to cm first)

   $\left(26+0.3\right)\times \left(28+0.3\right)$$=744.29\text{\hspace{0.17em}cm²}$

3. Change that to m², the same unit as your surface (10000 cm² per m²)

   $\frac{744.29}{\mathrm{10,000}}$$=0.074429\text{\hspace{0.17em}m²}$

4. Divide the surface area by the space one tile takes to see how many tiles cover it

   $\frac{9}{0.074429}$$=120.9206$

5. Add 10% for cuts and breakage, then round up to whole tiles

   $120.9206\times 1+0.1$$=133.0127$$=\text{rounded up:}134$

6. Divide by the 11 tiles in each box and round up, since stores sell whole boxes

   $\frac{134}{11}$$=12.1818$$=\text{rounded up:}13$

8. Tiles needed (with waste): 184

1. Find the surface area: multiply the length by the width

   $5\times 2$$=10\text{\hspace{0.17em}m²}$

2. Find the space each tile really takes: add the grout gap to its length and to its width, then multiply (the gap is changed from mm to cm first)

   $\left(29+0.4\right)\times \left(20+0.4\right)$$=599.76\text{\hspace{0.17em}cm²}$

3. Change that to m², the same unit as your surface (10000 cm² per m²)

   $\frac{599.76}{\mathrm{10,000}}$$=0.059976\text{\hspace{0.17em}m²}$

4. Divide the surface area by the space one tile takes to see how many tiles cover it

   $\frac{10}{0.059976}$$=166.7334$

5. Add 10% for cuts and breakage, then round up to whole tiles

   $166.7334\times 1+0.1$$=183.4067$$=\text{rounded up:}184$

6. Divide by the 11 tiles in each box and round up, since stores sell whole boxes

   $\frac{184}{11}$$=16.7273$$=\text{rounded up:}17$

9. Tiles needed (with waste): 125

1. Find the surface area: multiply the length by the width

   $11\times 11$$=121\text{\hspace{0.17em}ft²}$

2. Find the space each tile really takes: add the grout gap to its length and to its width, then multiply

   $\left(11+0.104\right)\times \left(14+0.104\right)$$=156.610816\text{\hspace{0.17em}in²}$

3. Change that to ft², the same unit as your surface (144 in² per ft²)

   $\frac{156.610816}{144}$$=1.08757511\text{\hspace{0.17em}ft²}$

4. Divide the surface area by the space one tile takes to see how many tiles cover it

   $\frac{121}{1.08757511}$$=111.2567$

5. Add 12% for cuts and breakage, then round up to whole tiles

   $111.2567\times 1+0.12$$=124.6075$$=\text{rounded up:}125$

6. Divide by the 12 tiles in each box and round up, since stores sell whole boxes

   $\frac{125}{12}$$=10.4167$$=\text{rounded up:}11$

10. Tiles needed (with waste): 119

1. Find the surface area: multiply the length by the width

   $13\times 9$$=117\text{\hspace{0.17em}ft²}$

2. Find the space each tile really takes: add the grout gap to its length and to its width, then multiply

   $\left(11+0.09\right)\times \left(14+0.09\right)$$=156.2581\text{\hspace{0.17em}in²}$

3. Change that to ft², the same unit as your surface (144 in² per ft²)

   $\frac{156.2581}{144}$$=1.08512569\text{\hspace{0.17em}ft²}$

4. Divide the surface area by the space one tile takes to see how many tiles cover it

   $\frac{117}{1.08512569}$$=107.8216$

5. Add 10% for cuts and breakage, then round up to whole tiles

   $107.8216\times 1+0.1$$=118.6038$$=\text{rounded up:}119$

6. Divide by the 11 tiles in each box and round up, since stores sell whole boxes

   $\frac{119}{11}$$=10.8182$$=\text{rounded up:}11$