To find the total area of the three lateral faces of a triangular prism, you first need to calculate the area of each individual lateral face and then add them together.
The formula for finding the area of a triangle is 1/2 * base * height.
The three lateral faces of the triangular prism have dimensions:
- Face 1: base = 10in, height = 10in
- Face 2: base = 8in, height = 12in
- Face 3: base = 14in, height = 12in
Now, calculate the area of each lateral face:
- Face 1: 1/2 * 10in * 10in = 50in²
- Face 2: 1/2 * 8in * 12in = 48in²
- Face 3: 1/2 * 14in * 12in = 84in²
Add the areas of the three lateral faces:
50in² + 48in² + 84in² = 182in²
Therefore, the total area of the three lateral faces of this triangular prism is 182 square inches.
Determine the total area of the THREE lateral faces of this triangular prism.
10in 10in 8in 12in 14 in
1 answer