The prism is 5 cm 3 cm 4 cm 11 cm What is the surface area of the triangular prism?
__ square centimeters
To find the surface area of a triangular prism, we need to calculate the areas of all the individual faces and then add them up.
The triangular faces of the prism have base and height dimensions 4 cm and 3 cm respectively. To calculate the area of one triangular face:
Area = 1/2 * base * height
Area = 1/2 * 4 cm * 3 cm
Area = 6 square cm
Since the prism has 2 identical triangular faces, the total combined area of these two faces is 2 * 6 square cm = 12 square cm.
The rectangular faces of the prism have dimensions 5 cm and 11 cm. To calculate the area of one rectangular face:
Area = length * width
Area = 5 cm * 11 cm
Area = 55 square cm
Since the prism has 3 rectangular faces, the total combined area of these three faces is 3 * 55 square cm = 165 square cm.
Now, add the areas of the triangular faces and the rectangular faces to get the total surface area of the prism:
Surface area = 12 square cm (triangular faces) + 165 square cm (rectangular faces)
Surface area = 177 square cm
Therefore, the surface area of the triangular prism is 177 square centimeters.