What three-dimensional solid has 6 rectangular faces, 2 equal bases that are not rectangles, and 18 edges? triangular prism pentagonal prism hexagonal prism octagonal prism?

Respuesta :

Hexagonal prism because it has six rectangular faces (one that connects each edge of the two hexagon faces) and 18 edges. 12 are for the two hexagon faces, and the other 6 are for the rectangular faces.

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It is a Hexagonal Prism.

Given to us

  • 6 rectangular faces
  • 2 equal bases that are not rectangles
  • 18 edges

For any Prism,

[tex]\rm{Number\ of\ edges = 3\times\ Number\ of\ sides\ of\ the\ base}[/tex]

[tex]\rm{18 = 3\times\ Number\ of\ sides\ of\ the\ base[/tex]

[tex]\rm{Number\ of\ sides\ of\ the\ base = \dfrac{18}{3}[/tex]

Number of sides of the base = 6,

Thus, it is a Hexagonal prism.

Also, in a hexagonal prism, as we can see in the image below, the 6 rectangles are joined together while the two bases cover up the hollow sides of the figure which are in a hexagonal shape.

Hence, it is a Hexagonal Prism.

Learn more about Hexagonal Prism:

https://brainly.com/question/23565626

Ver imagen ap8997154