To calculate the surface area of a rectangular prism, you can use the formula:
\[ \text{Surface Area} = 2lw + 2lh + 2wh \]
where \( l \) is the length, \( w \) is the width, and \( h \) is the height.
Given:
- Length \( l = 6 \) ft
- Width \( w = 14 \) ft
- Height \( h = 12 \) ft
Now, substituting the values into the formula:
\[ \text{Surface Area} = 2(6)(14) + 2(6)(12) + 2(14)(12) \]
Calculating each term:
- \( 2(6)(14) = 168 \)
- \( 2(6)(12) = 144 \)
- \( 2(14)(12) = 336 \)
Now, adding these areas together:
\[ \text{Surface Area} = 168 + 144 + 336 = 648 \text{ ft}^2 \]
Since none of the provided options list \( 648 , \text{ft}^2 \), it appears there may be an error in the available choices. If calculated correctly, though, the surface area is indeed \( 648 , \text{ft}^2 \). Please double-check the options given in your question.