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Pls helpppp find the total area of the prism

Pls helpppp find the total area of the prism-example-1
User Jang
by
8.4k points

1 Answer

4 votes

Answer:

Total area =
(54+(9√(3) )/(2)) square inch

Explanation:

Total area of the prism = Area of the rectangular sides (lateral sides) + area of the triangular bases

Area of the rectangular sides = 3 × (length × width)

= 3 × (3 × 6)

= 54 square inch

Area of the triangular bases = 2 × (Area of an equilateral triangle)

= 2 ×
(√(3))/(4)(\text{Side})^2

=
(√(3))/(2)(\text{Side})^2

=
(√(3))/(2)(3)^2

=
9((√(3) )/(2))

=
(9√(3))/(2) square inch

Total surface area = (54 +
(9√(3))/(2)) square inch

User Michael Grant
by
9.2k points

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