Question

Use the net as an aid to compute the surface area of the triangular prism.

dimensions: 11, 15, 16, 17

Answer 1

872.74 sq. units.

Explanation:

If the sides of the base and top triangles are 11 units, 15 units, and 16 units, then half of the perimeter will be =
`(11 + 15 + 16)/(2) = 21`.

Therefore, the area of the top or bottom triangle will be

=
`√(21 * (21 - 11)* (21 - 15) * (21 - 16))`

= 79.37 sq. units.

Now, perimeter of the triangle is (11 + 15 + 16) = 42 units.

Therefore, the total surface area of the triangular prism will be

= 79.37 × 2 + 42 × 17

= 872.74 sq. units. (Answer)