The surface area of a triangular prism is S.A.=
+(S1+S2+S3)
where S1, S2, and S3 are the areas of the three rectangular faces of the prism, and the plus sign indicates to add them together.
The formula for the area of a rectangle is length x width, so the area of each rectangular face can be found by multiplying the base (which is one of the sides of the triangle) by the height of the prism.
The formula for the area of a triangle is 1/2 x base x height, so the total surface area of the prism can also be found by adding the areas of the two triangular faces, which can be calculated using the base and height of the triangle, and then multiplying each by two (since there are two triangular faces).
Therefore, the surface area of a triangular prism is given by:
S.A. = 2(1/2 x b1 x h) + 2(1/2 x b2 x h) + 2(l x w)
or simplified:
S.A. = b1h + b2h + 2lw
Fill in the blanks to complete the formula for the surface area of a triangular prism. (1 point)
The surface area of a triangular prism is S.A.=
+(S1+S2+S3)
+2B
To calculate the surface area of a triangular prism, you need to know the lengths of the three side faces (S1, S2, and S3) and the two base faces.
The formula for the surface area of a triangular prism is:
S.A. = (S1 + S2 + S3) + (b1 + b2 + b3)
Here, (S1 + S2 + S3) represents the sum of the areas of the three side faces, and (b1 + b2 + b3) represents the sum of the areas of the two base faces.
To find the area of each side face (S1, S2, S3), you can use the formula for the area of a triangle, which is:
Area = (1/2) * base * height
To calculate the area of each base face (b1 and b2), you can use the formula for the area of a triangle as well.
So, to find the surface area of a triangular prism, follow these steps:
1. Measure the lengths of the three side faces (S1, S2, and S3).
2. Use the formula for the area of a triangle to calculate the area of each side face (S1, S2, S3).
3. Measure the lengths of the two base faces (b1 and b2).
4. Use the formula for the area of a triangle to calculate the area of each base face (b1 and b2).
5. Add up all the areas obtained in steps 2 and 4.
6. Add the sum of the side face areas (S1 + S2 + S3) to the sum of the base face areas (b1 + b2 + b3).
7. The result will be the surface area of the triangular prism.