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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

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

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

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