Question

Ted has to gift wrap a box of chocolates that is shaped like a triangular prism. What is the minimum amount of wrapping paper he needs?

Answer 1

69.48 square inches

Explanation:

The amount of wrapping paper needed = surface area of the triangular prism

Surface area of triangular prism is given as, area = Perimeter of triangular base*height of prism + 2(base area)

Perimeter of triangular base = sum of the 3 sides of the prism

Perimeter of base = 3.5 + 3.5 + 3 = 10 inches

Height of prism = 6 inches

Base area = ½*base of triangle * height of triangle = ½*3*3.16 = 4.74 in²

Surface area of triangular prism =
`10*6 + 2(4.74)`

`S.A = 60 + 9.48 = 69.48 in^2`

Amount of wrapping paper needed is 69.48 square inches .