To find the surface area of a rectangular prism, you can use the formula:
\[ \text{Surface Area} = 2(lw + lh + wh) \]
where:
- \( l \) is the length,
- \( w \) is the width, and
- \( h \) is the height.
Given:
- Length (\( l \)) = 4 cm
- Width (\( w \)) = 7 cm
- Height (\( h \)) = 2 cm
Now, let's calculate the surface area step-by-step:
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Calculate \( lw \): \[ lw = 4 \times 7 = 28 , \text{cm}^2 \]
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Calculate \( lh \): \[ lh = 4 \times 2 = 8 , \text{cm}^2 \]
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Calculate \( wh \): \[ wh = 7 \times 2 = 14 , \text{cm}^2 \]
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Now sum these areas: \[ lw + lh + wh = 28 + 8 + 14 = 50 , \text{cm}^2 \]
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Finally, multiply by 2 to get the surface area: \[ \text{Surface Area} = 2 \times 50 = 100 , \text{cm}^2 \]
So, the surface area of the rectangular prism is:
\[ \text{S. A.} = 100 , \text{centimeters}^2 \]
The correct response is: S. A. = 100 centimeters².