Question

What is the total area of the prism?

Answer 1

First we look for the area of the triangle which is given by:
 A = (1/2) * (4) * (6)
 A = 12 feet ^ 2
 Area of the rectangles:
 Rectangle 1:
 R1 = (4) * (8)
 R1 = 32 feet ^ 2
 Rectangle 2:
 R2 = (6) * (8)
 R2 = 48 feet ^ 2
 Rectangle 3:
 R3 = (root (6 ^ 2 + 4 ^ 2)) * (8))
 R3 = 57,68882041 feet ^ 2
 The total area will be:
 A = 2A + R1 + R2 + R3
 Substituting values:
 A = 2 * (12) + 32 + 48 + 57,68882041
 A = 161.6888204 feet ^ 2
 Answer:
 The total area of the prism is:
 A = 161.6888204 feet ^ 2