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What is the surface area-to-volume ratio of a cube whose sides are 3 cm long? What is the surface area? What is the volume? What is the surface area-to-volume ratio?

1 Answer

Shwetank Mauria

Feb 22, 2017

Surface area is $54$ $54$ $c m^{2}$ $cm^2$ , volume is $27$ $27$ $c m^{3}$ $cm^3$

and surface area-to-volume ratio is $2$ $2$

Explanation:

If $s$ $s$ is the side of a cube, then its surface area is $6 s^{2}$ $6s^2$ and its volume is $s^{3}$ $s^3$

Hence, if the sides of a cube are $3$ $3$ inches long

its surface area is $6 \times 3^{2} = 6 \times 9 = 54$ $6xx3^2=6xx9=54$ $c m^{2}$ $cm^2$ ,

its volume is $3^{3} = 27$ $3^3=27$ $c m^{3}$ $cm^3$

and surface area-to-volume ratio is $\frac{54}{27} = 2$ $54/27=2$

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