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
Question 4
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:
Volume (V): Volume of a cube is calculated as:
V=s3
where ( s ) is the side length of the cube. For a cube of size 2 cm:
V=23=8cm3
Surface Area (SA): The surface area of a cube is calculated as:
SA=6s2
For a cube of size 2 cm:
SA=6×22=24cm2
SA:V Ratio: Now, we can calculate the SA:V ratio:
SA:V=VSA=8cm324cm2=3:1