Find the no. of faces in a Prism with triangle base.a)3b)5c)2d)6Correc...
To understand the number of faces in a prism with a triangle base, let's break down the definition of a prism and the characteristics of a triangle.
Prism Definition:
A prism is a three-dimensional object with two parallel and congruent polygonal bases. The bases are connected by rectangular faces, and the number of faces in a prism depends on the shape of its bases.
Triangle Characteristics:
A triangle is a polygon with three sides and three angles. It is a two-dimensional shape.
Number of Faces in a Prism with a Triangle Base:
In a prism, the two bases are congruent triangles. Therefore, there are two triangular faces in a prism with a triangle base.
Additional Faces in the Prism:
Apart from the triangular faces, there are also rectangular faces connecting the bases. The number of rectangular faces in a prism is equal to the number of sides of the base polygon.
Since a triangle has three sides, there will be three rectangular faces connecting the two triangular bases.
Total Number of Faces:
To find the total number of faces, we add the number of triangular faces to the number of rectangular faces.
- Number of triangular faces: 2
- Number of rectangular faces: 3
Total number of faces = 2 + 3 = 5
Therefore, the correct answer is option B, which states that a prism with a triangle base has 5 faces.