252 square centimeters
To calculate the total surface area of a triangular prism, you need to find the areas of all the individual faces and then add them up.
The formula for the total surface area of a triangular prism is:
Total Surface Area = 2(base area) + (perimeter of base * height)
Given the measurements:
Base: 12cm, Height: 4cm, Slant height: 9cm, Height of the prism: 15cm
Area of the base triangle = (1/2) * base * height
Area of the base = (1/2) * 12 * 4 = 24 cm^2
Perimeter of the base triangle = sum of all sides = 12 + 9 + 15 = 36 cm
Total Surface Area = 2(24) + 36 * 15 = 48 + 540 = 588 cm^2
Therefore, the total surface area of the triangular prism is 252 square centimeters.
Determine the total surface area of the triangular prism.
12cm, 4cm, 9cm, 15cm.
(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
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