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Q: How many hexagons can you make with 8 trapezoids?

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how many vertices does 3 hexagons and 8 rectangles have all together

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A hexagon has six sides, and an octagon has eight. 3 hexagons and 3 octagons have 3*6 + 3*8 sides = 18 + 24 sides = 42 sides altogether.

Altogether there are: (5*5)+(3*6)+(1*8) = 51 sides

An octahedron is a closed 3-d shape with 8 polygonal faces. There are 257 topologically different convex octahedra. They can have faces which are triangles, quadrilaterals, pentagons, hexagons or heptagons,

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how many vertices does 3 hexagons and 8 rectangles have all together

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7 quadrilaterals = 7 x 4 = 28 sides 8 hexagons = 8 x 6 = 48 sides Total is 76 sides

The hexagon can be split into 8 equal trapezoids by creating a smaller hexagon (exactly one half the size) within the hexagon. Draw lines through the center of the hexagon from opposing vertices, and connect the midway points. The space between the two hexagons is filled by six equal trapezoids, and the smaller hexagon bisects to form two more. (see the related link for drawing)

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There are 7*4 + 8*6 = 28 + 48 = 76 sides.

Hexagonal prism.

They can have faces which are triangles, quadrilaterals, pentagons, hexagons or heptagons. It has 8 faces and can have 6 to 12 vertices.

A trapezoidal prism has 8 vertices:A trapezoid has 4 vertices.A trapezoidal prism is composed of 2 trapezoids. 2 X 4 = 8.

8 * * * * * There is no 3-D shape made from regular hexagons. The previous answer may refer to a hexagonal prism. But that is not a 3-D hexagon: the shape has two hexagonal faces and six rectangles - not just hexagons.