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What is the surface area to volume ratio for a cube that measures 4 cm on each side?

Answer 1

#A = 96 cm^2#
#V = 64 cm^3#
#Ratio =(96cm^2)/(64cm^3) = 1.5#

You calculate the total surface area by finding the area of a single side of the cube and then multiplying that area by six (for the six sides of a cube).

Once you do this you will find that a 4cm Cube has a total surface area of #96cm^2#.

To find the volume you simply use the following formula:

#V_(cube)=L*W*H#

In this case (because it is a cube) you will use 4cm for each value:

#V_(cube) = 4cm*4cm*4cm=64cm^3#

To find the ratio of surface area to volume, simply divide the surface area by the volume:

Ratio #=(96cm^2)/(64cm^3)=1.5#

Ratios are generally unit-less as they are comparing two values rather than combining to form a new value.

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Answer 2

Lydia Adams

A cube has a surface area to volume ratio of 6:1.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.