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question 1 of 10 what is the surface area of the rectangular prism below? (rectangular prism with height 6, width 6, length 15) a. 525 units² b. 496 units² c. 432 units² d. 490 units²
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C. 432 units²
To find the surface area of a rectangular prism, we use the formula \( SA = 2(lw + lh + wh) \), where \( l \) is length, \( w \) is width, and \( h \) is height. From the diagram, \( l = 15 \), \( w = 6 \), and \( h = 6 \).
Substitute the values:
\( SA = 2[(15 \times 6) + (15 \times 6) + (6 \times 6)] \)
\( SA = 2[90 + 90 + 36] \)
\( SA = 2[216] \)
\( SA = 432 \) units².