Answer:
216 cm²
Explanation:
To find the surface area of the given prism, we need to add up the areas of all its faces. A prism has two congruent bases and several rectangular faces.
Step 1: Find the area of the two bases.
The base of the prism is a rectangle with dimensions 9 cm and 6 cm. To find the area, we multiply these dimensions:
Area of each base = 9 cm * 6 cm = 54 cm²
Step 2: Find the area of the rectangular faces.
The prism has four rectangular faces. Each face has a length of 9 cm and a width of 3 cm. To find the area, we multiply these dimensions:
Area of each rectangular face = 9 cm * 3 cm = 27 cm²
Step 3: Add up the areas of all the faces.
There are two bases and four rectangular faces, so we add them all up:
Total surface area = (2 * Area of each base) + (4 * Area of each rectangular face)
Total surface area = (2 * 54 cm²) + (4 * 27 cm²)
Total surface area = 108 cm² + 108 cm²
Total surface area = 216 cm²
Therefore, the surface area of the given prism is 216 cm².