The volume of Triangular Prism is 120 [tex]cm^{3}[/tex] and the surface area of triangular prism is 184 [tex]cm^{2}[/tex]
A triangular prism is a 3D shape with two identical faces in the shape of a triangle connected by three rectangular faces. The rectangular faces are referred to as the lateral faces, while the triangular faces are called bases. The bases are also called the top and the bottom (faces) of the prism.
The volume of a triangular prism is the product of its triangular base area and the length of the prism.
Volume of Triangular Prism = ½ × b × h × l,
where b is the base length of the triangle, h is the height of the triangle, and l is the length of the prism.
The surface area of a triangular prism is the area that is occupied by its surface. It is the sum of the areas of all the faces of the prism.
Surface area = (Perimeter of the base × Length) + (2 × Base Area)
According to the question
Length of the prism. = 10cm
Base length of the triangle = 6 cm
Height of the triangle = 4 cm
1> Volume of Triangular Prism = ½ × b × h × l
= ½ × 6 × 4 × 10
= 120 [tex]cm^{3}[/tex]
As, Base area in Triangular Prism base is always triangular part
i.e Base area = 1/2 * 4 * 6
= 12 [tex]cm^{2}[/tex]
Perimeter of the base = 5 + 5 + 6
= 16 cm
Length of the prism = 10 cm
Surface area = (Perimeter of the base × Length) + (2 × Base Area)
substituting the value
Surface area = (16 * 10 ) + (2 * 12 )
= 184 [tex]cm^{2}[/tex]
Hence, The volume of Triangular Prism is 120 [tex]cm^{3}[/tex] and the surface area of triangular prism is 184 [tex]cm^{2}[/tex]
To know more about triangular prism here:
https://brainly.com/question/24046619
#SPJ2
