MorganNicole
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Which pair of figures has the same number of faces as vertices?

1.triangular prism and triangular pyramid
2. triangular prism and rectangular prism
3. rectangular pyramid and triangular pyramid
4. rectangular pyramid and rectangular prism

Respuesta :

Answer:

Option 3 is correct.

( rectangular pyramid and triangular pyramid )

Step-by-step explanation:

The number of faces and vertices in each of the given figures are as follows:

  • Triangular prism has 5 faces and 6 vertices.
  • Triangular pyramid has 4 faces and 4 vertices.
  • Rectangular Prism has 6 faces and 8 vertices.
  • and Rectangular pyramid has 5 faces and 5 vertices.

Hence the correct statement among the given options is:

i.e. the figures which have equal number of faces as vertices are:

Rectangular pyramid and Triangular Pyramid.

Hence option 3 is correct.

The rectangular pyramid and triangular pyramid both has same faces as vertices. Thus the option 3 is the correct option,

Pyramid

A pyramid is the 3 dimensional face which has polygon base and triangular faces.

Prism

A pyramid is the 3 dimensional face with two same bases facing each other has with rectangle faces.

  • Triangular prism -Two identical shapes in the shape of the triangle connected by three rectangular faces. It has five faces with six vertices.
  • Triangular pyramid-Triangular pyramid has triangle at its base and all three faces are in the shape of the triangle conned with the common vertex.It has four faces and four vertices.
  • Rectangular pyramid-Rectangular pyramid has rectangle at its base and all four faces are in the shape of the triangle conned with the common vertex.It has six faces and eight vertices.
  • Rectangular prism-Two identical shapes in the shape of the rectangle connected by four rectangular faces.It has five faces and five vertices.

As the rectangular pyramid and triangular pyramid both has same faces as vertices. Thus the option 3 is the correct option.

Learn more about the prism and pyramid here;

https://brainly.com/question/2654102

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