Total Surface Area of Triangular Prism given Base Area Calculator

Formula

The formula to calculate the Total Surface Area of a Triangular Prism (\(TSA\)) is:

\[ TSA = (2 \times A_{Base}) + (h \times (S_a + S_b + S_c)) \]

Where:

\(TSA\) is the Total Surface Area of the Triangular Prism.
\(A_{Base}\) is the Base Area of the Triangular Prism.
\(h\) is the Height of the Triangular Prism.
\(S_a\), \(S_b\), and \(S_c\) are the lengths of the sides of the base of the Triangular Prism.

Definition

The Total Surface Area of a Triangular Prism is the total amount of two-dimensional space occupied by all the faces of the Triangular Prism.

The Base Area of a Triangular Prism is the total amount of two-dimensional space occupied by the base face of the Triangular Prism.

The Height of a Triangular Prism is the length of the straight line connecting any base vertex to the corresponding top vertex of the Triangular Prism.

The Side A, Side B, and Side C of the Base of a Triangular Prism are the lengths of the three base edges of the Triangular Prism.

How to calculate Total Surface Area of a Triangular Prism given Base Area

Let's assume the following values:

Base Area of Triangular Prism = 65 m²
Height of Triangular Prism = 25 m
Side A of Base of Triangular Prism = 10 m
Side B of Base of Triangular Prism = 14 m
Side C of Base of Triangular Prism = 20 m

Using the formula:

\[ TSA = (2 \times 65) + (25 \times (10 + 14 + 20)) \]

Evaluating:

\[ TSA = 130 + 25 \times 44 = 130 + 1100 = 1230 \]

The Total Surface Area is 1230 m².

Total Surface Area Conversion Chart

Total Surface Area (m²)
10	5	10	14	20	240.0000
10	10	10	14	20	460.0000
10	15	10	14	20	680.0000
10	20	10	14	20	900.0000
10	25	10	14	20	1,120.0000
10	30	10	14	20	1,340.0000
10	35	10	14	20	1,560.0000
10	40	10	14	20	1,780.0000
10	45	10	14	20	2,000.0000
10	50	10	14	20	2,220.0000
20	5	10	14	20	260.0000
20	10	10	14	20	480.0000
20	15	10	14	20	700.0000
20	20	10	14	20	920.0000
20	25	10	14	20	1,140.0000
20	30	10	14	20	1,360.0000
20	35	10	14	20	1,580.0000
20	40	10	14	20	1,800.0000
20	45	10	14	20	2,020.0000
20	50	10	14	20	2,240.0000
30	5	10	14	20	280.0000
30	10	10	14	20	500.0000
30	15	10	14	20	720.0000
30	20	10	14	20	940.0000
30	25	10	14	20	1,160.0000
30	30	10	14	20	1,380.0000
30	35	10	14	20	1,600.0000
30	40	10	14	20	1,820.0000
30	45	10	14	20	2,040.0000
30	50	10	14	20	2,260.0000
40	5	10	14	20	300.0000
40	10	10	14	20	520.0000
40	15	10	14	20	740.0000
40	20	10	14	20	960.0000
40	25	10	14	20	1,180.0000
40	30	10	14	20	1,400.0000
40	35	10	14	20	1,620.0000
40	40	10	14	20	1,840.0000
40	45	10	14	20	2,060.0000
40	50	10	14	20	2,280.0000
50	5	10	14	20	320.0000
50	10	10	14	20	540.0000
50	15	10	14	20	760.0000
50	20	10	14	20	980.0000
50	25	10	14	20	1,200.0000
50	30	10	14	20	1,420.0000
50	35	10	14	20	1,640.0000
50	40	10	14	20	1,860.0000
50	45	10	14	20	2,080.0000
50	50	10	14	20	2,300.0000
60	5	10	14	20	340.0000
60	10	10	14	20	560.0000
60	15	10	14	20	780.0000
60	20	10	14	20	1,000.0000
60	25	10	14	20	1,220.0000
60	30	10	14	20	1,440.0000
60	35	10	14	20	1,660.0000
60	40	10	14	20	1,880.0000
60	45	10	14	20	2,100.0000
60	50	10	14	20	2,320.0000
70	5	10	14	20	360.0000
70	10	10	14	20	580.0000
70	15	10	14	20	800.0000
70	20	10	14	20	1,020.0000
70	25	10	14	20	1,240.0000
70	30	10	14	20	1,460.0000
70	35	10	14	20	1,680.0000
70	40	10	14	20	1,900.0000
70	45	10	14	20	2,120.0000
70	50	10	14	20	2,340.0000
80	5	10	14	20	380.0000
80	10	10	14	20	600.0000
80	15	10	14	20	820.0000
80	20	10	14	20	1,040.0000
80	25	10	14	20	1,260.0000
80	30	10	14	20	1,480.0000
80	35	10	14	20	1,700.0000
80	40	10	14	20	1,920.0000
80	45	10	14	20	2,140.0000
80	50	10	14	20	2,360.0000
90	5	10	14	20	400.0000
90	10	10	14	20	620.0000
90	15	10	14	20	840.0000
90	20	10	14	20	1,060.0000
90	25	10	14	20	1,280.0000
90	30	10	14	20	1,500.0000
90	35	10	14	20	1,720.0000
90	40	10	14	20	1,940.0000
90	45	10	14	20	2,160.0000
90	50	10	14	20	2,380.0000
100	5	10	14	20	420.0000
100	10	10	14	20	640.0000
100	15	10	14	20	860.0000
100	20	10	14	20	1,080.0000
100	25	10	14	20	1,300.0000
100	30	10	14	20	1,520.0000
100	35	10	14	20	1,740.0000
100	40	10	14	20	1,960.0000
100	45	10	14	20	2,180.0000
100	50	10	14	20	2,400.0000