Home
Class 6
MATHS
The base of a prism is a octagon. All it...

The base of a prism is a octagon. All its other faces are rectangle. What is the name of such a prism ?

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question about the prism with an octagonal base, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Base Shape**: The base of the prism is given as an octagon. An octagon is a polygon with 8 sides. **Hint**: Remember that the number of sides in a polygon determines its name. For example, a triangle has 3 sides, a square has 4 sides, and an octagon has 8 sides. 2. **Understand the Structure of the Prism**: A prism is defined as a solid shape that has two parallel bases that are congruent (the same shape and size) and rectangular faces connecting the corresponding sides of the two bases. **Hint**: Think about how a prism is formed. It is like stacking two identical shapes on top of each other and connecting them with rectangles. 3. **Determine the Faces of the Prism**: Since the base is an octagon, the prism will have two octagonal bases. The other faces connecting these bases will be rectangles. **Hint**: Count the number of faces. For an octagonal prism, there are 2 octagonal faces and 8 rectangular faces (one for each side of the octagon). 4. **Count the Vertices and Edges**: - **Vertices**: Each octagonal base has 8 vertices. Since there are two bases, the total number of vertices is 8 (top base) + 8 (bottom base) = 16 vertices. - **Edges**: Each octagonal base has 8 edges, and there are 8 additional edges connecting the corresponding vertices of the two bases. Thus, the total number of edges is 8 (top base) + 8 (bottom base) + 8 (connecting edges) = 24 edges. **Hint**: Remember that each vertex on the top base connects to a vertex on the bottom base, forming vertical edges. 5. **Name the Prism**: Since the base of this prism is an octagon and all other faces are rectangles, the name of the prism is an "Octagonal Prism". **Hint**: The name of a prism is derived from the shape of its base. If the base is an octagon, it is called an octagonal prism. ### Final Answer: The name of the prism with an octagonal base and rectangular faces is an **Octagonal Prism**.
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • UNDERSTANDING ELEMENTARY SHAPES

    MTG IIT JEE FOUNDATION|Exercise NCERT SECTION (EXERCISE 5.1) |7 Videos

  • UNDERSTANDING ELEMENTARY SHAPES

    MTG IIT JEE FOUNDATION|Exercise NCERT SECTION (EXERCISE 5.2) |31 Videos

  • UNDERSTANDING ELEMENTARY SHAPES

    MTG IIT JEE FOUNDATION|Exercise OLYMPIAD/HOTS CORNER |20 Videos

  • SYMMETRY

    MTG IIT JEE FOUNDATION|Exercise Olympiad/HOTS Corner|13 Videos

  • WHOLE NUMBERS

    MTG IIT JEE FOUNDATION|Exercise OLYMPIAD/HOTS CORNER (FILL IN THE BLANKS)|5 Videos

Similar Questions

Explore conceptually related problems

Let the area of the base of a prism be B and the height of the prism be h. Write a formula for the prism’s volume V.

A ray of light incident on one of the face of a prism as shown. After refraction through this surface ray is incident on base of the prism. The refractive index of the prism is sqrt(3) . The net deviation of the ray due to prism is

Knowledge Check

  • A prism is a polyhedron whose lateral faces are

    A
    Circles
    B
    Triangles
    C
    Parallelograms
    D
    Rhombuses or Rhombi

  • A ray of monochromatic light is incident on the refracting face of a prism (angle 75^(@)0 . It passes through the prism and is incident on the other face at the critical angle. If the refractive index of the prism is sqrt(2) , then the angle of incidence on the first of the prism is

    A
    `15^(@)`
    B
    `30^(@)`
    C
    `45^(@)`
    D
    `60^(@)`

  • The base of a right prism is a square of perimeter 20 cm and its height is 30 cm. What is the volume of the prism?

    A
    700 `cm^(3)`
    B
    750 `cm^(3)`
    C
    800 `cm^(3)`
    D
    850 `cm^(3)`

    • Similar Questions

    Explore conceptually related problems

    A ray of light incident at an angle theta on a refracting face of a prism emerges from the other face normally. If the angle of prism is 5^(@) and the prism is made of a material of refractive index 1.5, the angle of incidence is

    A ray of monochromatic light is incident on one refracting face of a prism of angle 75^(@) . It passes thorugh the prism and is incident on the other face at the critical angle. If the refractive index of the material of the prism is sqrt(2) , the angle of incidence on the first face of the prism is

    A ray of monochromatic light is incident on one refracting face of a prism of angle 75^(@) . It passes through the prism and is incident on the other face at the critical angle. If the refractive index of the material of the prism is sqrt2 , the angle of incidence on the first face of the prism is

    A ray of monochromatic light is incident on one refracting face of a prism of angle 75^(@) . It passes through the prism and is incident on the other face at the critical angle. If the refractive index of the material of the prism is sqrt(2) , the angle of incidence on the first face of the prism is

    Base of a right prism is a rectangle, the ratio of whose lengh and breadth is 3:2. If the height of the prism is 12 cm and total surface area is 288 sq. cm. the volume of the prism is :

    Home
    Profile