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.= blank +(S1+S2+S3)blank
USE S1, S2, 23 AND SA
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The surface area of a triangular prism is S.A. = S1 + (S1 + S2 + S3) + S2 + S3
What is the sa of a triangular prism with a sh of 5, h of 3, w of 4, l of 11?
To find the surface area of a triangular prism, we need to calculate the areas of the three faces (S1, S2, S3).
1. Calculate the area of the triangular base (S1):
The area of a triangle can be calculated using the formula: Area = 1/2 * base * height
S1 = 0.5 * 4 * 3
S1 = 6 square units
2. Calculate the areas of the other two faces (S2 and S3):
Since the triangular base and the opposite face of a triangular prism are identical in shape and size, the areas of S2 and S3 will also be 6 square units each.
3. Calculate the total surface area (S.A.):
S.A. = S1 + (S1 + S2 + S3) + S2 + S3
S.A. = 6 + (6 + 6 + 6) + 6 + 6
S.A. = 6 + 24 + 6
S.A. = 36 square units
Therefore, the surface area of the triangular prism with a base side length of 5, height 3, width 4, and length 11 is 36 square units.
1. Calculate the area of the triangular base (S1):
The area of a triangle can be calculated using the formula: Area = 1/2 * base * height
S1 = 0.5 * 4 * 3
S1 = 6 square units
2. Calculate the areas of the other two faces (S2 and S3):
Since the triangular base and the opposite face of a triangular prism are identical in shape and size, the areas of S2 and S3 will also be 6 square units each.
3. Calculate the total surface area (S.A.):
S.A. = S1 + (S1 + S2 + S3) + S2 + S3
S.A. = 6 + (6 + 6 + 6) + 6 + 6
S.A. = 6 + 24 + 6
S.A. = 36 square units
Therefore, the surface area of the triangular prism with a base side length of 5, height 3, width 4, and length 11 is 36 square units.
Nooo 5 is the SLANT HEIGHT
I apologize for the mistake. Given that the triangular prism has a slant height (sh) of 5 units, a height (h) of 3 units, a width (w) of 4 units, and a length (l) of 11 units, we need to use the formula for the surface area of a triangular prism:
Surface Area (S.A.) = base area + lateral area
1. Base Area (S1):
Based on the given dimensions, the base of the triangular prism is a triangle with a base of 4 units and a height of 3 units. The formula for the area of a triangle is A = 1/2 * base * height.
Base Area (S1) = 1/2 * 4 * 3 = 6 square units
2. Lateral Area (S2 + S3):
The lateral area of a triangular prism consists of two identical triangles. The formula for the area of a triangle given the slant height (sh) and base (b) is A = 1/2 * b * sh.
Lateral Area (S2 + S3) = 2 * 1/2 * 4 * 5 = 20 square units
Now, we can calculate the total surface area by adding the base area and the lateral area:
Surface Area (S.A.) = 6 + 20 = 26 square units
Therefore, the surface area of the triangular prism is 26 square units. Thank you for pointing out the correct validity of the slant height.
Surface Area (S.A.) = base area + lateral area
1. Base Area (S1):
Based on the given dimensions, the base of the triangular prism is a triangle with a base of 4 units and a height of 3 units. The formula for the area of a triangle is A = 1/2 * base * height.
Base Area (S1) = 1/2 * 4 * 3 = 6 square units
2. Lateral Area (S2 + S3):
The lateral area of a triangular prism consists of two identical triangles. The formula for the area of a triangle given the slant height (sh) and base (b) is A = 1/2 * b * sh.
Lateral Area (S2 + S3) = 2 * 1/2 * 4 * 5 = 20 square units
Now, we can calculate the total surface area by adding the base area and the lateral area:
Surface Area (S.A.) = 6 + 20 = 26 square units
Therefore, the surface area of the triangular prism is 26 square units. Thank you for pointing out the correct validity of the slant height.
1 answer