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

280 square centimeters
280 square centimeters

180 square centimeters
180 square centimeters

260 square centimeters
260 square centimeters

320 square centimeters
320 square centimeters

Answer 1

The surface area of a triangular prism consists of the sum of the areas of all its faces.

The front and back triangular faces each have an area of (1/2) base x height = (1/2) x 10 cm x 8 cm = 40 square cm each.

The two rectangular faces each have an area of length x width= 6 cm x 10 cm = 60 square cm each.

Adding all the faces together, the total surface area of the triangular prism is:

40 square cm + 40 square cm + 60 square cm + 60 square cm = 200 square cm.

Therefore, the correct answer is not listed above. The surface area of the triangular prism is 200 square centimeters.