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Figure 4 is a table that shows the surface area (SA) to volume (V) ratio in three different sized cubes - Edexcel - GCSE Biology Combined Science - Question 4 - 2016 - Paper 1

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Figure 4 is a table that shows the surface area (SA) to volume (V) ratio in three different sized cubes. cube size (cm) 2 24 8 SA: V ratio 4 96 64 1.5:1 6 216... show full transcript

Worked Solution & Example Answer:Figure 4 is a table that shows the surface area (SA) to volume (V) ratio in three different sized cubes - Edexcel - GCSE Biology Combined Science - Question 4 - 2016 - Paper 1

Step 1

Calculate the SA:V ratio for the 2 cm cube.

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Answer

To calculate the surface area to volume ratio (SA:V) for the 2 cm cube, we use the formulas for surface area and volume of a cube:

  1. Volume (V): Volume of a cube is calculated as: V=s3V = s^3 where ( s ) is the side length of the cube. For a cube of size 2 cm: V=23=8cm3V = 2^3 = 8 \, \text{cm}^3

  2. Surface Area (SA): The surface area of a cube is calculated as: SA=6s2SA = 6s^2 For a cube of size 2 cm: SA=6×22=24cm2SA = 6 \times 2^2 = 24 \, \text{cm}^2

  3. SA:V Ratio: Now, we can calculate the SA:V ratio: SA:V=SAV=24cm28cm3=3:1SA:V = \frac{SA}{V} = \frac{24 \, \text{cm}^2}{8 \, \text{cm}^3} = 3:1

Thus, the SA:V ratio for the 2 cm cube is 3:1.

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