What is the ratio of surface area to volume?

1 answer:

6 0

The ratio of surface area to volume is the amount of surface area per unit volume of a thing. This is an important value in various topics. In chemistry, this is an important value for chemical reactions. It can show reactivity of a solid material. Also, it has found some importance in biology because it shows how the cells are affected by the environment where that cell is found.<span />

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Step-by-step explanation:

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Express the volume of the box as a<br>polynomial in the variable x

Whitepunk [10]

The volume of the box as a polynomial in the variable x is x(12 - 2x)(7 - 2x)

<h3>How to determine the volume?</h3>

The complete question is added as an attachment

From the attached image, we have:

Length = 12 - 2x

Width = 7 - 2x

Height = x

The volume is calculated as:

Volume = Length * Width * Height

Substitute the known values in the above equation

Volume = (12 - 2x) * (7 - 2x) * x

This gives

Volume = x(12 - 2x)(7 - 2x)

Hence, the volume of the box as a polynomial in the variable x is x(12 - 2x)(7 - 2x)