Introduction to formula of Area of Triangular prism:
Triangular prism:
In geometry the concept of triangular prism is one of the most important concept.A triangular prism is a polyhedron which is composed of two triangular bases and three rectangular sides. It is a pentahedron where two faces are parallel when it is in surface normal of the other three are in the same plane. In triangular prism cross-sections parallel to the base faces are the same triangle. So the faces are parallelograms. When the base faces of a triangular prism are equilateral triangles, and the other three faces are squares, then it becomes semi regular. A 3-sided bi-pyramid can be made by dual of triangular prism. It has five faces in which three are rectangles’ and two are triangles. It is with 6 vertices and 9 edges.
Between, if you have problem on these topics prime factorization cake method , please browse expert math related websites for more help on free algebra practice problems.
There are different types of prism-
a) triangular prism,
b) square prism,
c)rectangular prism,
d)hexagonal prism,
e)pentagonal prism, and
f)octagonal prism.
Key features of a triangular prism are -
Faces: 5;
Corners: 6;
Edges:9
Different formula of Triangular prism:
Area of Base (A) = ½ * a * b
Perimeter of Base (P) = s1 + s2 + s3
Surface Area of Prism = ab + (s1 + s2 + s3)h = ab + Ph
Volume of Prism = ½ * a * b * h = Ah
[where
a = altitude, b = base, h = height and s1, s2, s3 are sides]
Area of Triangular Prism
Step 2:Substituting the value we will get,
Surface Area of Prism=12*13+(10+12+13)*14
=646 cm2
Step 3: Area of base= ½ * a * b
[Where, a = altitude, b = base]
=½*12*13
=78 cm2
Triangular prism:
In geometry the concept of triangular prism is one of the most important concept.A triangular prism is a polyhedron which is composed of two triangular bases and three rectangular sides. It is a pentahedron where two faces are parallel when it is in surface normal of the other three are in the same plane. In triangular prism cross-sections parallel to the base faces are the same triangle. So the faces are parallelograms. When the base faces of a triangular prism are equilateral triangles, and the other three faces are squares, then it becomes semi regular. A 3-sided bi-pyramid can be made by dual of triangular prism. It has five faces in which three are rectangles’ and two are triangles. It is with 6 vertices and 9 edges.
Between, if you have problem on these topics prime factorization cake method , please browse expert math related websites for more help on free algebra practice problems.
There are different types of prism-
a) triangular prism,
b) square prism,
c)rectangular prism,
d)hexagonal prism,
e)pentagonal prism, and
f)octagonal prism.
Key features of a triangular prism are -
Faces: 5;
Corners: 6;
Edges:9
Different formula of Triangular prism:
Area of Base (A) = ½ * a * b
Perimeter of Base (P) = s1 + s2 + s3
Surface Area of Prism = ab + (s1 + s2 + s3)h = ab + Ph
Volume of Prism = ½ * a * b * h = Ah
[where
a = altitude, b = base, h = height and s1, s2, s3 are sides]
Area of Triangular Prism
Area of Triangular prism:
Pro: Calculate the surface area and area of base of triangular prism when altitude 12 cm, base of triangular 13 cm, height 14 cm and the sides are 10 cm, 12cm and 13 cm.
Sol:
Step 1:To calculate the surface area of triangular prism we can use the formula,
Surface Area of Prism = ab + (s1 + s2 + s3)h = ab + Ph
[Where,a = altitude, b = base, h = height and s1, s2, s3 are sides]
Sol:
Step 1:To calculate the surface area of triangular prism we can use the formula,
Surface Area of Prism = ab + (s1 + s2 + s3)h = ab + Ph
[Where,a = altitude, b = base, h = height and s1, s2, s3 are sides]
Step 2:Substituting the value we will get,
Surface Area of Prism=12*13+(10+12+13)*14
=646 cm2
Step 3: Area of base= ½ * a * b
[Where, a = altitude, b = base]
=½*12*13
=78 cm2
Practice Problems on Area of a Triangular Prism:
Calculate the surface area of triangular prism when altitude 5, base of triangular 8, height 12 and the sides are 8, 6 and 8.( Surface Area of Prism=304, Area of base=20)
1. Calculate the surface area of triangular prism when altitude 4, base of triangular 3, height 5 and the sides are 1, 2and 3.( Surface Area of Prism=42, Area of base=6)
1. Calculate the surface area of triangular prism when altitude 4, base of triangular 3, height 5 and the sides are 1, 2and 3.( Surface Area of Prism=42, Area of base=6)
