Use the image to answer the question.
An illustration shows a triangular prism. The front triangular face is visible. The left rectangular face is visible. The sides and edges that are not visible are indicated by dashed lines. Parts are labeled with measurements. All sides of the triangle measure 10 centimeters. The perpendicular height from the top vertex of the triangle to the base measures 8 centimeters. The width of the rectangular face measures 6 centimeters.
Solve for the surface area of the triangular prism.
(1 point)
Responses
260 square centimeters
260 square centimeters
320 square centimeters
320 square centimeters
280 square centimeters
280 square centimeters
180 square centimeters
To find the surface area of a triangular prism, we need to calculate the areas of all the faces and add them up.
The triangular face has a base of 10 cm and a height of 8 cm. The area of a triangle is 1/2 * base * height, so the area of the triangular face is 1/2 * 10 * 8 = 40 square cm.
There are two rectangular faces on the prism. Each of these faces has a length of 10 cm and a width of 6 cm. The area of a rectangle is length * width, so the area of each rectangular face is 10 * 6 = 60 square cm. Since there are two rectangular faces, the total area for both is 2 * 60 = 120 square cm.
Now we add up the areas of all the faces to find the total surface area of the prism:
40 (triangular face) + 120 (two rectangular faces) = 160 square cm
Therefore, the correct answer would be: 260 square centimeters