What is the surface area of the triangular prism shown?

A triangular prism. The triangle faces have base 14 meters and height 24 meters. The rectangular bottom has dimensions 10 meters by 14 meters. The height of the prism is 25 meters.
558 m2
976 m2
1,680 m2
1,750 m2

What is the surface area of the triangular prism shown A triangular prism The triangle faces have base 14 meters and height 24 meters The rectangular bottom has class=

Respuesta :

Answer: 726 meters²

Step-by-step explanation:

   We will need to find the area of five shapes. The base, the top/bottom, and the two triangle sides.

      The area of a triangle is B * H / 2. Since we have two congruent triangles, I will not be dividing by two.

14 * 24 = 336 meters²

-> This value is for both of the triangle faces

      The rectangular bottom is L * W

14 * 10 = 140 meters²

      The two rectangles for the top and bottom will also be L * W. Since these are congruent, I will find the area of one and multiply it by two.

10 * 25 = 250 meters²

      Now I will add them all together for the total surface area:

336 + 140 + 250 = 726 meters²

  -> I don't see this as an option choice listed. I will review my work, but I am currently confused on the options they provide.