Problem

1. A playhouse has the shape of a rectangular prism with a triangular prism roof. Determine the surface area of the playhouse.
Area 1 :
$=$
Area 2 :
$=$
Area 3:
$=$
Area 4:
$=$
Area 5: $=$
\[
S A=
\]
\[
m^{2}
\]

Answer

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Answer

\(\boxed{SA = 2lh + bt + lw}\)

Steps

Step 1 :Calculate the area of each face: Area 1 and Area 2: \(A = l * h\), Area 3 and Area 4: \(A = 0.5 * b * t\), Area 5: \(A = l * w\)

Step 2 :Add all the areas together to find the total surface area: \(SA = 2(l * h) + 2(0.5 * b * t) + (l * w)\)

Step 3 :\(\boxed{SA = 2lh + bt + lw}\)

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