To calculate the surface area of the triangular prism:
1. Determine the area of the triangular base of the prism:
Area = 1/2 * base * height
Area = 1/2 * 6 * 4 = 12 square centimeters
2. Determine the area of the smallest rectangle of the prism:
Area = base * height
Area = 4 * 3 = 12 square centimeters
3. Determine the area of the largest rectangle of the prism:
Area = base * height
Area = 6 * 3 = 18 square centimeters
4. Calculate the total surface area by summing up the areas of all the faces:
Total surface area = 2*(triangle area) + 2*(smallest rectangle area) + 2*(largest rectangle area)
Total surface area = 2*(12) + 2*(12) + 2*(18) = 24 + 24 + 36 = 84 square centimeters
Therefore, the total surface area of the triangular prism is 84 square centimeters.
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How to Determine the Surface Area of a Triangular Prism (Ctrl + link to open in a new tab)
(4 points)
Determine the area of the triangular base of the prism.
square centimeters
Determine the area of the smallest rectangle of the prism.
square centimeters
Determine the area of the largest rectangle of the prism.
square centimeters
What is the total surface area of the triangular prism?
square centimeters
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