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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?

Answer 1

Claire Akin

Surface area is #54# #cm^2#, volume is #27# #cm^3#

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

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

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

its surface area is #6xx3^2=6xx9=54# #cm^2#,

its volume is #3^3=27# #cm^3#

and surface area-to-volume ratio is #54/27=2#

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Answer 2

Mason Adams

The surface area of the cube is (6 \times (\text{side length})^2 = 6 \times (3 , \text{cm})^2 = 6 \times 9 , \text{cm}^2 = 54 , \text{cm}^2). The volume of the cube is ((\text{side length})^3 = (3 , \text{cm})^3 = 27 , \text{cm}^3). The surface area-to-volume ratio of the cube is (\frac{\text{surface area}}{\text{volume}} = \frac{54 , \text{cm}^2}{27 , \text{cm}^3} = 2 , \text{cm}^{-1}).

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Answer from HIX Tutor

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