Answer:
1350 cm²
Explanation:
The prism has 5 faces.
The front face and a congruent back face are triangles with base 36 cm and height 15 cm.
Then it has three rectangular faces:
bottom face - a rectangle 36 cm by 9 cm
left face - a rectangle 15 cm by 9 cm
top face - a rectangle 39 cm by 9 cm
We need to find the areas of the 5 faces and add them together.
area of triangle = base × height / 2
area of rectangle = length × width
surface area = 2 × 36 cm × 15 cm / 2 + 36 cm × 9 cm + 15 cm × 9 cm + 39 cm × 9 cm
surface area = 540 cm² + 324 cm² + 135 cm² + 351 cm²
surface area = 1350 cm²