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t. a. =

T.A = 54 + 9/2 √3

Step-by-step explanation:

∵ The figure is triangular prism

∴ T.A = perimeter of the base × height + 2 × area of the base

∵ The base is an equilateral Δ with side length 3"

∴ The perimeter of the base = 3 × 3 = 9 inches

∴ The area of the base = 1/4 S² √3 = 1/4 (3)²√3 = 9/4 √3 inches²

∵ The length of the height of the prism = 6"

∴ T.A = 9 × 6 + 2 × 9/4 √3 = 54 + 9/2 √3

∴ T.A = 54 + 9/2 √3 inches²

darn right!

step-by-step explanation:

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