Question

12 cm the left side next to the 90 degree angle
4 cm the top point
9 cm the base
15 cm the right side
Determine the total surface area of the triangular prism.




(1 point)
Responses

126 square centimeters
126 square centimeters

252 square centimeters
252 square centimeters

504 square centimeters
504 square centimeters

6,480 square centimeters

Answer 1

To find the total surface area of the triangular prism, we first need to find the lateral surface area and the area of the two triangular bases.

The lateral surface area can be found using the formula:
Lateral Surface Area = base perimeter * height
= (9 + 12 + 15) * 4
= 36 * 4
= 144 square cm

The area of one triangular base can be found using the formula for the area of a triangle:
Area = 0.5 * base * height
= 0.5 * 9 * 12
= 54 square cm

Since there are two triangular bases, their total area is:
2 * 54 = 108 square cm

Therefore, the total surface area of the triangular prism is:
144 (lateral surface area) + 108 (two triangular bases) = 252 square cm

Therefore, the correct answer is:
252 square centimeters