Question

What is the surface area of this composite solid?

Use 11.3 meters for the slant height of the triangular prism.

Enter your answer in the box.


__m²
Composite made up of a rectangular prism surmounted by a triangular prism. The rectangular prism has dimensions of 16 meters wide by 20 meters long by 12 meters high. The triangular prism has dimensions of 16 meters wide by 20 meters long with a triangular altitude of 8 meters high.

Answer 1

SEE THE IMAGE BELOW (I REALLY HOPE THIS IS CORRECT!!!)

Answer 2

• 1764 m²

Explanation:

Refer to attached picture.

All given dimensions are given on the picture (not to scale).

Since altitude of the triangle and slant height is given, we can find the base of the triangle using Pythagorean:

• 
  `b/2 = √(11.3^2-8^2) = √(64) = 8m, \\b = 16 m`

It has 9 faces and the total surface area is:

• S = 16*20 + 2(20*12) + 2(20*11.3) + 2(16*12) + 2(1/2*8*16) = 1764 m²