the no of vertices will be 1+1+1+1+1+1+1+3=10
You would cut off a corner.
A cube has nine planes of symmetry. These include three planes that cut through the centers of opposite faces, three that cut through the midpoints of opposite edges, and three that pass through opposite vertices, bisecting the angles between the edges. Each plane reflects the cube into two symmetrical halves.
When you cut a 3D cube vertically, the shape you obtain is a rectangular prism, provided that the cut is made parallel to one of the cube’s faces. If the cut is made at an angle, the resulting shape could be a more complex polygon. However, slicing through the vertices or edges can create various cross-sections, but they will still maintain a rectangular or polygonal profile when viewed from the cut's face.
The cross sections of a cube can vary based on the angle and position of the cut. Common cross sections include a square when cut parallel to its faces, a rectangle when cut at an angle to the faces, and a triangle when cut diagonally through the cube. Additionally, if the cut is made through the vertices, the cross section can also form a hexagon. In general, the type of shape produced depends on the orientation and position of the slicing plane.
A hexahedron is a three-dimensional figure with six identical faces - in other words, a cube. So a hexahedron is not made up of hexagons at all, but of squares. However, if you were to balance a cube on one of the vertices, the horizontal plane cutting the cube in half would make a cut in the shape of a regular hexagon. Four such regular hexagons can be found in the cube.
A pentagonal prism, a hexagonal pyramid, a cube with one vertex (corner) cut off, a tetrahedron with three vertices cut off - these are some of the possibilities.
You would cut off a corner.
A cube has nine planes of symmetry. These include three planes that cut through the centers of opposite faces, three that cut through the midpoints of opposite edges, and three that pass through opposite vertices, bisecting the angles between the edges. Each plane reflects the cube into two symmetrical halves.
When you cut a 3D cube vertically, the shape you obtain is a rectangular prism, provided that the cut is made parallel to one of the cube’s faces. If the cut is made at an angle, the resulting shape could be a more complex polygon. However, slicing through the vertices or edges can create various cross-sections, but they will still maintain a rectangular or polygonal profile when viewed from the cut's face.
The cross sections of a cube can vary based on the angle and position of the cut. Common cross sections include a square when cut parallel to its faces, a rectangle when cut at an angle to the faces, and a triangle when cut diagonally through the cube. Additionally, if the cut is made through the vertices, the cross section can also form a hexagon. In general, the type of shape produced depends on the orientation and position of the slicing plane.
A hexahedron is a three-dimensional figure with six identical faces - in other words, a cube. So a hexahedron is not made up of hexagons at all, but of squares. However, if you were to balance a cube on one of the vertices, the horizontal plane cutting the cube in half would make a cut in the shape of a regular hexagon. Four such regular hexagons can be found in the cube.
None, but you can cut a cube into any number ≥ 2 of triangular prisms.
8 corners will be left
There are an infinite number of possible solutions. A tetrahedron and icosahedron are regular shapes. Then there is the triangular prism. A cuboid with one vertex cut off, a cube with 2 vertices cut off, 3 vertices etc. In fact, cutting off the vertex of any polyhedron in which three sides (faces) meet at the vertex will give a new triangular face.
The answer will depend on how many corners have been cut off in the truncation process.
Five
can have any no depending on how its cut