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Calculate the total surface area of potato chip B using the formula, Total surface area = 2XY + 2XZ + 2YZ - Edexcel - GCSE Biology - Question 9 - 2018 - Paper 1

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Calculate the total surface area of potato chip B using the formula, Total surface area = 2XY + 2XZ + 2YZ

Worked Solution & Example Answer:Calculate the total surface area of potato chip B using the formula, Total surface area = 2XY + 2XZ + 2YZ - Edexcel - GCSE Biology - Question 9 - 2018 - Paper 1

Step 1

Calculate the total surface area of potato chip B

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Answer

To calculate the total surface area of potato chip B, we first substitute the values into the formula:

  • Length of X (5.0 cm)
  • Length of Y (2.0 cm)
  • Length of Z (2.0 cm)

Using the formula:

extTotalsurfacearea=2XY+2XZ+2YZ ext{Total surface area} = 2XY + 2XZ + 2YZ

Substituting the values:

extTotalsurfacearea=2(5.0)(2.0)+2(5.0)(2.0)+2(2.0)(2.0) ext{Total surface area} = 2(5.0)(2.0) + 2(5.0)(2.0) + 2(2.0)(2.0)

Calculating each term yields:

  • First term: 2(5.0)(2.0)=202(5.0)(2.0) = 20 cm²
  • Second term: 2(5.0)(2.0)=202(5.0)(2.0) = 20 cm²
  • Third term: 2(2.0)(2.0)=82(2.0)(2.0) = 8 cm²

Now, summing all the terms:

extTotalsurfacearea=20+20+8=48extcm2 ext{Total surface area} = 20 + 20 + 8 = 48 ext{ cm}^2

Thus, the total surface area of potato chip B is 48 cm².

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