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Surface area to volume ratio

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Question 9

Table 2 shows the height and mass of two adults.

Table 2

PersonHeight / cmMass / kg
X18080.80
Y16250.50

The surface area of a person is estimated using the following formula:

Surface area in m2=height in cm×mass in kg3600 \text{Surface area in m}^2 = \sqrt{\frac{\text{height in cm} \times \text{mass in kg}}{3600}} Surface area in m2=3600height in cm×mass in kg​​

The volume of a person is estimated using the following formula:

Volume in m3=mass in kg1010 \text{Volume in m}^3 = \frac{\text{mass in kg}}{1010} Volume in m3=1010mass in kg​

Using suitable calculations, deduce which person has the smaller surface area to volume ratio.

Show your working and complete the sentence below.

Give your answer to 3 significant figures.

Person ________ has the smaller surface area to volume ratio which = ________.

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Surface area to volume ratio Questions

  1. A Level
  2. /Biology
  3. /Surface area to volume ratio