Solve for the surface area of the triangular prism.
(1 point)
Responses
180 square centimeters
180 square centimeters
280 square centimeters
280 square centimeters
320 square centimeters
320 square centimeters
260 square centimeters
To solve for the surface area of a triangular prism, you need to calculate the surface area of each face and then add them together.
1. The two triangular faces of the prism have the same area, which is given by the formula: Area = 0.5 * base * height.
2. The rectangular faces of the prism have an area equal to the product of the length and the width.
Given the dimensions of the prism, let's calculate the surface area:
- The base of the triangular faces is 5 cm, the height is 6 cm. So, the area of one triangular face is 0.5 * 5 * 6 = 15 square centimeters. Since there are two triangular faces, the total area is 15 * 2 = 30 square centimeters.
- The length of the rectangular faces is 7 cm, the width is 6 cm. So, the area of one rectangular face is 7 * 6 = 42 square centimeters. Again, since there are two rectangular faces, the total area is 42 * 2 = 84 square centimeters.
Adding the areas of all faces together, we get: 30 + 84 = 114 square centimeters.
Therefore, the correct answer is not listed above. The surface area of the triangular prism is 114 square centimeters.