e 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
its not 312
The surface area of a triangular prism can be calculated by finding the areas of all the individual faces and adding them together.
First, find the area of the triangular front face:
Area = (1/2) * base * height
Area = (1/2) * 6 cm * 8 cm
Area = 24 square centimeters
Next, find the area of the rectangular face:
Area = length * width
Area = 10 cm * 9 cm
Area = 90 square centimeters
Since there are two triangular faces and three rectangular faces in a triangular prism, the total surface area is:
Total Surface Area = 2 * Area of triangular face + 3 * Area of rectangular face
Total Surface Area = 2 * 24 square centimeters + 3 * 90 square centimeters
Total Surface Area = 48 square centimeters + 270 square centimeters
Total Surface Area = 318 square centimeters
Therefore, the surface area of the triangular prism is 318 square centimeters.