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Baking Pan Size worksheet

Grade 7 · CCSS 7.G.B.4

Solve each problem and show your work. Round answers to 2 decimal places where needed.

1.
Problem 1.
- Measurements in: Centimeters
- Recipe's pan: Round
- Recipe pan diameter: 12
- Your pan: Square
- Your pan side: 11
Find: Multiply the recipe by
Answer
2.
Problem 2.
- Measurements in: Inches
- Recipe's pan: Round
- Recipe pan diameter: 7
- Your pan: Square
- Your pan side: 9
Find: Multiply the recipe by
Answer
3.
Problem 3.
- Measurements in: Inches
- Recipe's pan: Square
- Recipe pan side: 7
- Your pan: Square
- Your pan side: 9
Find: Multiply the recipe by
Answer
4.
Problem 4.
- Measurements in: Inches
- Recipe's pan: Rectangle
- Recipe pan length: 8
- Recipe pan width: 4
- Your pan: Rectangle
- Your pan length: 11
- Your pan width: 10
Find: Multiply the recipe by
Answer
5.
Problem 5.
- Measurements in: Centimeters
- Recipe's pan: Square
- Recipe pan side: 11
- Your pan: Round
- Your pan diameter: 15
Find: Multiply the recipe by
Answer
6.
Problem 6.
- Measurements in: Inches
- Recipe's pan: Rectangle
- Recipe pan length: 12
- Recipe pan width: 6
- Your pan: Round
- Your pan diameter: 10
Find: Multiply the recipe by
Answer
7.
Problem 7.
- Measurements in: Inches
- Recipe's pan: Round
- Recipe pan diameter: 8
- Your pan: Square
- Your pan side: 8
Find: Multiply the recipe by
Answer
8.
Problem 8.
- Measurements in: Centimeters
- Recipe's pan: Round
- Recipe pan diameter: 9
- Your pan: Round
- Your pan diameter: 7
Find: Multiply the recipe by
Answer
9.
Problem 9.
- Measurements in: Centimeters
- Recipe's pan: Round
- Recipe pan diameter: 9
- Your pan: Square
- Your pan side: 14
Find: Multiply the recipe by
Answer
10.
Problem 10.
- Measurements in: Inches
- Recipe's pan: Round
- Recipe pan diameter: 10
- Your pan: Rectangle
- Your pan length: 15
- Your pan width: 6
Find: Multiply the recipe by
Answer

Answer key: Baking Pan Size worksheet

1. Multiply the recipe by: 1.07
1. Find the floor area of the recipe's pan: pi (about 3.14) times half the diameter, squared
  $π \times {(\frac{12}{2})}^{2}$ $= 113.0973 cm²$
2. Find the floor area of your pan: one side times itself
  $11^{2}$ $= 121 cm²$
3. Divide your pan's area by the recipe pan's area. Multiply every ingredient by this to fill your pan to the same depth
  $\frac{121}{113.0973}$ $= 1.069875$
4. If you don't scale the recipe, the batter depth changes the other way: recipe area divided by your area
  $\frac{113.0973}{121}$ $= 0.9347 × the original depth$
2. Multiply the recipe by: 2.1
1. Find the floor area of the recipe's pan: pi (about 3.14) times half the diameter, squared
  $π \times {(\frac{7}{2})}^{2}$ $= 38.4845 in²$
2. Find the floor area of your pan: one side times itself
  $9^{2}$ $= 81 in²$
3. Divide your pan's area by the recipe pan's area. Multiply every ingredient by this to fill your pan to the same depth
  $\frac{81}{38.4845}$ $= 2.104743$
4. If you don't scale the recipe, the batter depth changes the other way: recipe area divided by your area
  $\frac{38.4845}{81}$ $= 0.4751 × the original depth$
3. Multiply the recipe by: 1.65
1. Find the floor area of the recipe's pan: one side times itself
  $7^{2}$ $= 49 in²$
2. Find the floor area of your pan: one side times itself
  $9^{2}$ $= 81 in²$
3. Divide your pan's area by the recipe pan's area. Multiply every ingredient by this to fill your pan to the same depth
  $\frac{81}{49}$ $= 1.653061$
4. If you don't scale the recipe, the batter depth changes the other way: recipe area divided by your area
  $\frac{49}{81}$ $= 0.6049 × the original depth$
4. Multiply the recipe by: 3.44
1. Find the floor area of the recipe's pan: length times width
  $8 \times 4$ $= 32 in²$
2. Find the floor area of your pan: length times width
  $11 \times 10$ $= 110 in²$
3. Divide your pan's area by the recipe pan's area. Multiply every ingredient by this to fill your pan to the same depth
  $\frac{110}{32}$ $= 3.4375$
4. If you don't scale the recipe, the batter depth changes the other way: recipe area divided by your area
  $\frac{32}{110}$ $= 0.2909 × the original depth$
5. Multiply the recipe by: 1.46
1. Find the floor area of the recipe's pan: one side times itself
  $11^{2}$ $= 121 cm²$
2. Find the floor area of your pan: pi (about 3.14) times half the diameter, squared
  $π \times {(\frac{15}{2})}^{2}$ $= 176.7146 cm²$
3. Divide your pan's area by the recipe pan's area. Multiply every ingredient by this to fill your pan to the same depth
  $\frac{176.7146}{121}$ $= 1.460451$
4. If you don't scale the recipe, the batter depth changes the other way: recipe area divided by your area
  $\frac{121}{176.7146}$ $= 0.6847 × the original depth$
6. Multiply the recipe by: 1.09
1. Find the floor area of the recipe's pan: length times width
  $12 \times 6$ $= 72 in²$
2. Find the floor area of your pan: pi (about 3.14) times half the diameter, squared
  $π \times {(\frac{10}{2})}^{2}$ $= 78.5398 in²$
3. Divide your pan's area by the recipe pan's area. Multiply every ingredient by this to fill your pan to the same depth
  $\frac{78.5398}{72}$ $= 1.090831$
4. If you don't scale the recipe, the batter depth changes the other way: recipe area divided by your area
  $\frac{72}{78.5398}$ $= 0.9167 × the original depth$
7. Multiply the recipe by: 1.27
1. Find the floor area of the recipe's pan: pi (about 3.14) times half the diameter, squared
  $π \times {(\frac{8}{2})}^{2}$ $= 50.2655 in²$
2. Find the floor area of your pan: one side times itself
  $8^{2}$ $= 64 in²$
3. Divide your pan's area by the recipe pan's area. Multiply every ingredient by this to fill your pan to the same depth
  $\frac{64}{50.2655}$ $= 1.27324$
4. If you don't scale the recipe, the batter depth changes the other way: recipe area divided by your area
  $\frac{50.2655}{64}$ $= 0.7854 × the original depth$
8. Multiply the recipe by: 0.6
1. Find the floor area of the recipe's pan: pi (about 3.14) times half the diameter, squared
  $π \times {(\frac{9}{2})}^{2}$ $= 63.6173 cm²$
2. Find the floor area of your pan: pi (about 3.14) times half the diameter, squared
  $π \times {(\frac{7}{2})}^{2}$ $= 38.4845 cm²$
3. Divide your pan's area by the recipe pan's area. Multiply every ingredient by this to fill your pan to the same depth
  $\frac{38.4845}{63.6173}$ $= 0.604938$
4. If you don't scale the recipe, the batter depth changes the other way: recipe area divided by your area
  $\frac{63.6173}{38.4845}$ $= 1.6531 × the original depth$
9. Multiply the recipe by: 3.08
1. Find the floor area of the recipe's pan: pi (about 3.14) times half the diameter, squared
  $π \times {(\frac{9}{2})}^{2}$ $= 63.6173 cm²$
2. Find the floor area of your pan: one side times itself
  $14^{2}$ $= 196 cm²$
3. Divide your pan's area by the recipe pan's area. Multiply every ingredient by this to fill your pan to the same depth
  $\frac{196}{63.6173}$ $= 3.080925$
4. If you don't scale the recipe, the batter depth changes the other way: recipe area divided by your area
  $\frac{63.6173}{196}$ $= 0.3246 × the original depth$
10. Multiply the recipe by: 1.15
1. Find the floor area of the recipe's pan: pi (about 3.14) times half the diameter, squared
  $π \times {(\frac{10}{2})}^{2}$ $= 78.5398 in²$
2. Find the floor area of your pan: length times width
  $15 \times 6$ $= 90 in²$
3. Divide your pan's area by the recipe pan's area. Multiply every ingredient by this to fill your pan to the same depth
  $\frac{90}{78.5398}$ $= 1.145916$
4. If you don't scale the recipe, the batter depth changes the other way: recipe area divided by your area
  $\frac{78.5398}{90}$ $= 0.8727 × the original depth$