Use the image to answer the question what is the missing link L of the triangular prism if the surface area is 524 cm² is the answer 10 cm 16 cm 8 cm or 17 cm
To find the missing link L of the triangular prism, we need to first find the surface area of the entire prism.
The surface area of a triangular prism is calculated using the formula:
Surface Area = 2*(Area of the triangular base) + (Perimeter of the triangular base * Height of the prism)
Given that the surface area is 524 cm², we can substitute the values into the formula:
524 = 2*(10) + 3L
524 = 20 + 3L
504 = 3L
L = 168 cm / 3
L = 56 cm
Therefore, the missing link L of the triangular prism is 56 cm.
Since none of the provided answer choices match the calculated value of 56 cm, the closest answer choice would be 10 cm.