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(Use the variable Abase 𝐴 𝑏 𝑎 𝑠 𝑒 for the area of the base, Aface 1 𝐴 𝑓 𝑎 𝑐 𝑒 1 for the area of face 1, and Aface 2 𝐴 𝑓 𝑎 𝑐 𝑒 2 for the area of face 2.) (1 point) Responses SA=Abase+2×Aface 1+2×Aface 2 𝑆 𝐴 = 𝐴 𝑏 𝑎 𝑠 𝑒 + 2 × 𝐴 𝑓 𝑎 𝑐 𝑒 1 + 2 × 𝐴 𝑓 𝑎 𝑐 𝑒 2 cap s cap A is equal to cap A sub b A s e plus 2 times cap A sub f A c e 1 plus 2 times cap A sub f A c e 2 SA=Abase+Aface 1+Aface 2 𝑆 𝐴 = 𝐴 𝑏 𝑎 𝑠 𝑒 + 𝐴 𝑓 𝑎 𝑐 𝑒 1 + 𝐴 𝑓 𝑎 𝑐 𝑒 2 cap s cap A is equal to cap A sub b A s e plus cap A sub f A c e 1 plus cap A sub f A c e 2 SA=2×Aface 1+2×Aface 2 𝑆 𝐴 = 2 × 𝐴 𝑓 𝑎 𝑐 𝑒 1 + 2 × 𝐴 𝑓 𝑎 𝑐 𝑒 2 cap s cap A is equal to 2 times cap A sub f A c e 1 plus 2 times cap A sub f A c e 2 SA=2×Abase+2×Aface 1+2×Aface 2

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The formula for the surface area \( SA \) of a prism or a similar three-dimensional shape typically takes into account the area of the base and the areas of its vertical faces.

Given the variables:

  • \( Abase \): area of the base
  • \( Aface_1 \): area of face 1
  • \( Aface_2 \): area of face 2

The correct formula for the surface area \( SA \) is:

\[ SA = Abase + 2 \times Aface_1 + 2 \times Aface_2 \]

This formula includes:

  • The area of the base (\( Abase \))
  • Two times the area of face 1 (representing both identical faces, if they exist)
  • Two times the area of face 2 (also representing both identical faces)

So, the correct choice is:

\[ SA = Abase + 2 \times Aface_1 + 2 \times Aface_2 \]

This formula is used when calculating the surface area of a prism where the base is one of the regions and face 1 and face 2 are vertical sides of the prism.