To find the surface area of a triangular prism, we need to calculate the area of each of the faces and then add them up.
First, let's find the area of the triangular base:
Area = (1/2) * base * height
Area = (1/2) * 7 * 6 = 21 square units
Since there are two triangular bases, the total area of the triangular bases is 2 * 21 = 42 square units.
Now, let's find the area of the three rectangular faces:
Face 1: 7 * 6 = 42 square units
Face 2: 6 * 16 = 96 square units
Face 3: 7 * 16 = 112 square units
Adding up the areas of the three rectangular faces, the total area is 42 + 96 + 112 = 250 square units.
Finally, to find the total surface area, we add the areas of the triangular bases and the three rectangular faces:
250 + 42 = 292 square units
Therefore, the surface area of the triangular prism is 292 square units. None of the provided options match this exact number, but the closest option is 288 square units.
If X = 7 units, Y = 6 units, Z = 16 units, and h = 6 units, what is the surface area of the triangular prism shown above?
(2 points)
Responses
288 square units
288 square units
392 square units
392 square units
372 square units
372 square units
356 square units
1 answer