The mailing tube shown below is 36 inches long, 6 inches wide, and 5.2 inches deep.
The bases are equilateral triangles. How much cardboard is used to make the tube?

Respuesta :

The amount of cardboard = Surface area of a triangular prism = 679.2 in.²

What is the Surface Area of a Triangular Prism?

Surface area of a triangular prism = (perimeter of base × length of the prism) + (2 × Base Area)

= (S1 +S2 + S3)L + bh

The mailing tube is a triangular prism with an equilateral triangular base, and has the following given values:

  • s1 = 6 in.
  • s2 = 6 in.
  • s3 = 6 in.
  • L = 36 in.
  • b = 6 in.
  • h = 5.2 in.

Plug the values into the surface area formula to find the amount of cardboard that would be used to make the tube:

Amount of cardboard = Surface area of a triangular prism = (6 + 6 + 6)36 + (6)(5.2) = 679.2 in.²

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