Question

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

Answer 1

Answer:

872.74 sq. units.

Step-by-step 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 = $\frac{11 + 15 + 16}{2} = 21$.

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

= $\sqrt{21 \times (21 - 11)\times (21 - 15) \times (21 - 16)}$

=   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)