A triangular prism is 16 millimeters long and has a triangular face with a base of 18 millimeters and a height of 12 millimeters. The other two sides of the triangle are each 15 millimeters. What is the surface area of the triangular prism?

surface area of the triangular prism = 984 mm²

Step-by-step explanation:

first of all, we know that area of triangle is given as;

1/2 x base x height.

Thus;

Each triangular face of the prism will have an area of ;

1/2 x 18 x 12 = 108mm²

Therefore, the two triangles will have a combined area of 108 x 2 = 216 mm².

Now, the perimeter of both identical isosceles triangles will be;

15 + 15 + 18 = 48mm

And since the length of these sides is 16mm,thus the area here will be 48 x 16 = 768 mm²

Thus total surface area of the prism = 216 + 768 = 984 mm²

answer: options?

step-by-step explanation: