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Surface Area of a Triangular Prism Calculator
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Surface Area of a Triangular prism Calculator is used find the surface area. The parameters to find the surface area perimeter, the sides, height of the prism and the base area.

Step by Step Calculation

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Step 1 :

Formula:

Surface Area = $\frac{1}{2}$(b * h)2 + (S1 + S2 + S3)H

Surface Area = (b * h) + (S1 + S2 + S3)H

Where

b = base

h = height

H = Prism height

S1, S2, S3 = Sides of triangle

Step 2 :

Put the values in the formula and calculate it further.

Example Problems

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1. Find the surface area of triangular prism whose sides are equilateral with 4cm, the prism height is 6 cm and base height is 3.4 cm.

Step 1 :

Given: The surface area of triangular prism whose sides are equilateral with 4 cm.

S1, S2, S3 = 4 cm

b = 4 cm

h = 3.4 cm

H = 6 cm

Formula:

Surface Area = $\frac{1}{2}$(b * h)2 + (S1 + S2 + S3)H

Surface Area = (b * h) + (S1 + S2 + S3)H

Step 2 :

Put the values in the formula

Surface Area = (4 * 3.4) + (4 + 4 + 4)*6

Surface Area = 85.6 cm2

Answer  :

Surface Area = 85.6 cm2

2. Find the surface area of triangular prism whose sides s1 = 5 m, s2 = 4 m and s3 = 3 m. The prism height is 7 cm and base height is 4.5 cm.

Step 1 :

Given: The surface area of triangular prism whose sides are equilateral with 4 cm.

S1 = 5 m

S2 = 4 m

S3 = 3 m

b = 4 m

h = 7 m

H = 4.5 m

Formula:

Surface Area = $\frac{1}{2}$(b * h)2 + (S1 + S2 + S3)H

Surface Area = (b * h) + (S1 + S2 + S3)H

Step 2 :

Put the values in the formula

Surface Area = (4 * 4.5) + (5 + 4 + 3)*7

Surface Area = 102 m2

Answer  :

Surface Area = 102 m2

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