se the image to answer the question.
A triangular prism. The front triangular face is visible. The right rectangular face is visible. The sides and edges that are not visible are indicated by dashed lines. Parts are labeled with measurements. The left side of the triangle measures 8 centimeters. The left side meets the base to form a right angle. The base of the triangle measures 6 centimeters. The hypotenuse side of the triangle measures 10 centimeters. The width of the rectangular face measures 9 centimeters.
What is the surface area of the triangular prism?
(1 point)
square centimeters
To find the surface area of the triangular prism, we need to find the areas of all the individual faces and then add them together.
The triangular face has an area of (1/2) * base * height = (1/2) * 6 * 8 = 24 square centimeters.
The rectangular face has an area of length * width = 10 * 9 = 90 square centimeters.
Since there are two identical triangular faces and three identical rectangular faces in a triangular prism, the total surface area is calculated by adding all these areas together.
Total surface area = 2 * (24 square centimeters) + 3 * (90 square centimeters) = 48 square centimeters + 270 square centimeters = 318 square centimeters.
Therefore, the surface area of the triangular prism is 318 square centimeters.