Raynor has two closed rectangular prism recycling bins. The dimensions of the second recycle bin are one-third of the dimensions of the first recycle bin. Which statement is true about the surface area of the second recycle bin? Answer It is one-half of the surface area of the first recycle bin. It is one-third of the surface area of the first recycle bin. It is one-ninth of the surface area of the first recycle bin. It is one-eighteenth of the surface area of the first recycle bin.

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When you take 1/3 of the dimensions, the surface area will be \[(\frac{1}{3})^2\] of the original area. This is because you have two dimensions. For a volume, the relationship would be cubed. 1/9 is your answer.

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