Question

What is the surface area of this right triangular prism?

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in²

Right triangular prism. The height of the prism is labeled 12 in. The base of the prism is a triangle with sides labeled 13 in., 13 in., and 24 in. There is a dashed line from the vertex of the triangle perpendicular to the 24 in. side that is labeled 5 in.

Answer 1

The surface area of the right triangular prism is : 20,568 $in^{2}$  

using this formula ;SA = bh + (s1 + s2 + s3)*l

Meaning of a triangular prism

A traingular prisms is a prism that has triangles as its base. It has two triangles which are called the bases and three rectangles called the lateral faces.

Given data:

where; SA means the surface area

• b = base = 24 in
• h = height = 12 in
• s1 = side one = 13
• s2 = side two = 13 in
• s3 = side three = 24 in
• l = length = 5  in

Therefore:

SA = 24*12 + ( 13 * 13 * 24 ) * 5

SA = 288 + ( 4056) * 5

SA = 288 + 20280

SA = 20,568 $in^{2}$

In conclusion, the surface area of the right triangular prisms is 20,568 $in^{2}$

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Answer 2

Answer:

20,568..............................