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 = [tex]\frac{11 + 15 + 16}{2} = 21[/tex].
Therefore, the area of the top or bottom triangle will be
= [tex]\sqrt{21 \times (21 - 11)\times (21 - 15) \times (21 - 16)}[/tex]
= 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)
