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Find the surface area of this rectangular prism. Be sure to include the correct unit in your answer.2 cm4 cm9 cm

Find the surface area of this rectangular prism. Be sure to include the correct unit-example-1
User Bkritzer
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1 Answer

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The surface area of a rectangular prism can be calculated by using this formula:


SA=2wl+2hl+2hw

Where "w" is the width, "l" is the length and "h" is the height of the rectangular prism.

In this case, you can identify that:


\begin{gathered} l=9\operatorname{cm} \\ w=4\operatorname{cm} \\ h=2\operatorname{cm} \end{gathered}

Then, substituting values into the formula and evaluating, you get:


\begin{gathered} SA=2wl+2hl+2hw \\ SA=2(4\operatorname{cm})(9\operatorname{cm})+2(2\operatorname{cm})(9\operatorname{cm})+2(2\operatorname{cm})(4\operatorname{cm}) \\ \\ SA=124\operatorname{cm}^2 \end{gathered}

Therefore, the answer is:


SA=124\operatorname{cm}^2

User School
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