solve for the surface area of the triangular prism??
A: 260 square centimeters
B: 320 square centimeters
C: 280 square centimeters
D: 180 square centimeters
To solve for the surface area of a triangular prism, you need to calculate the total area of all the individual faces added together.
The surface area of a triangular prism can be calculated using the formula:
Surface Area = 2*(base area of triangle) + (perimeter of triangle * height of prism)
Given that the surface area of the triangular prism is 320 square centimeters, we can calculate the surface area using the following steps:
1. Calculate the base area of the triangle:
The base of the triangle can be calculated using the formula for the area of a triangle:
Base Area = 0.5 * base length * height of triangle
Base Area = 0.5 * 10 * 8
Base Area = 40 square centimeters
2. Calculate the perimeter of the triangle:
Perimeter of triangle = sum of all three sides
Perimeter of triangle = 10 + 10 + 12
Perimeter of triangle = 32 centimeters
3. Calculate the surface area of the triangular prism:
Surface Area = 2*(40) + (32 * 8)
Surface Area = 80 + 256
Surface Area = 336 square centimeters
Therefore, the closest answer to 320 square centimeters is option B.