If X = 7 units, v =B units z = 16 units, and h =6 units what is the surface area of the 3d triangular prism shown above?
(2 points)
288 square units
392 square units
372 square units
356 square units
To find the surface area of a triangular prism, you need to calculate the areas of all the individual faces and then add them together.
The formula for the surface area of a triangular prism is:
Surface Area = 2*base area + lateral area
First, calculate the base area of the triangular prism:
Base area = (1/2) * base * height
Base area = (1/2) * 7 * 6
Base area = 21 square units
Next, calculate the lateral area of the triangular prism:
Lateral area = perimeter of base * height of prism
Lateral area = 7 + 16 + 14 + 12 = 49
Lateral area = 49 * 6
Lateral area = 294 square units
Now, calculate the total surface area by adding the base area and lateral area:
Surface Area = 2*21 + 294
Surface Area = 42 + 294
Surface Area = 336 square units
Therefore, the surface area of the 3d triangular prism is 336 square units.
None of the given options match with the calculated value, so there may be an error in the given measurements or in the options provided.