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Calculate the SA:V ratio for the 2 cm cube. - Edexcel - GCSE Biology Combined Science - Question 4 - 2016 - Paper 1

Question 4

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

Worked Solution & Example Answer:Calculate the SA:V ratio for the 2 cm cube. - Edexcel - GCSE Biology Combined Science - Question 4 - 2016 - Paper 1

Step 1

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Answer

The surface area (SA) of a cube is calculated using the formula:

$SA = 6a^2$

where a is the length of one side of the cube. For the 2 cm cube:

$SA = 6(2^2) = 6(4) = 24 ext{ cm}^2$

Step 2

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Answer

The volume (V) of a cube is calculated using the formula:

$V = a^3$

For the 2 cm cube:

$V = 2^3 = 8 ext{ cm}^3$

Step 3

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Answer

The SA:V ratio is calculated by dividing the surface area by the volume:

$SA:V = \frac{SA}{V} = \frac{24}{8} = 3:1$

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