Explain how SA = 1/2 bh+ (S1 + S2 + S3)l is the correct formula for finding the surface area of a triangular prism
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In the formula SA = 1/2 bh + (S1 + S2 + S3) l, the first part of the formula, 1/2 bh, represents the area of the two triangular bases of the prism. This formula calculates the area of a triangle by multiplying the base (b) by the height (h) and dividing the product by 2.
The second part of the formula, (S1 + S2 + S3) l, represents the lateral surface area of the prism. In this part of the formula, S1, S2, and S3 represent the three sides of the triangle, and l represents the length of the prism. To find the lateral surface area, you add the areas of the three sides of the prism and multiply the sum by the length.
By adding the area of the two triangular bases and the lateral surface area, you get the total surface area of the triangular prism. Therefore, SA = 1/2 bh+ (S1 + S2 + S3)l is the correct formula for finding the surface area of a triangular prism.
Make it more simple
The formula SA = 1/2 bh + (S1 + S2 + S3) l is used to find the surface area of a triangular prism.
- The first part, 1/2 bh, calculates the area of the two triangular bases of the prism. This is done by multiplying the base length (b) by the height (h) and dividing by 2.
- The second part, (S1 + S2 + S3) l, calculates the lateral surface area. This involves adding the areas of the three sides of the triangle (S1, S2, S3) and multiplying by the length (l) of the prism.
By combining the areas of the two triangular bases and the lateral surface, you get the total surface area of the triangular prism. This formula accounts for all the surface areas of the prism, giving an accurate measure of its total surface area.
Moreee simpleeeee
The formula SA = 1/2 bh + (S1 + S2 + S3) l helps us find the total surface area of a triangular prism.
- The 1st part (1/2 bh) calculates the area of the two triangular bases by multiplying the base length (b) with the height (h) and dividing by 2.
- The 2nd part ((S1 + S2 + S3) l) calculates the lateral surface area by adding up the areas of the three sides (S1, S2, S3) and then multiplying by the length (l) of the prism.
By adding these two parts together, we get the complete surface area of the triangular prism. This formula makes it easier for us to find the total surface area by considering the bases and the sides of the prism.