Question

Pls helpppp find the total area of the prism

Answer 1

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