Table of Contents
- 1 What is the solid figure of a cube?
- 2 What shape do you get when you cut a cube in half?
- 3 What is example of solid figure?
- 4 What shape is produced when slicing a cube through opposite corners of the cube?
- 5 Can you get a hexagon from a cube?
- 6 How you could cut through a cube so that the face of the resulting solid is an equilateral triangle?
What is the solid figure of a cube?
Cubes are solid figures that have six faces that are all squares of the same size. Since a square is a rectangle, a cube has six faces that are all rectangles, so a cube is a rectangular prism.
What shape do you get when you cut a cube in half?
If you hang a hy- percube by a vertex and cut it in half with a horizontal 3- dimensional hyperplane, the intersection set is an octahedron. 1.
What cross sections can be made from a cube?
Cross Sections of a Cube
- a single point (a vertex of the cube)
- a line segment (an edge of the cube)
- a triangle (if three adjacent faces of the cube are intersected)
- a parallelogram (if two pairs of opposite faces are intersected – this includes a rhombus or rectangle)
- a trapezium (if two pairs of.
What is example of solid figure?
For example:
| Solid Shapes | Faces | Vertices |
|---|---|---|
| Hexagonal Prism | 8 | 12 |
| Square Pyramid | 5 | 5 |
| Triangular Pyramid | 4 | 6 |
| Pentagonal Pyramid | 6 | 6 |
What shape is produced when slicing a cube through opposite corners of the cube?
a. A square cross section can be created by slicing the cube by a plane parallel to one of its sides.
What shapes can be formed by the intersection of a plane and a cube?
When a plane intersects a cube there is a variety of shapes of the resulting cross section.
- a single point (a vertex of the cube)
- a line segment (an edge of the cube)
- a triangle (if three adjacent faces of the cube are intersected)
Can you get a hexagon from a cube?
Halfway through the cube, perpendicular to the long diagonal, we get a perfect regular hexagon, with all six sides of equal length and all angles equal.
How you could cut through a cube so that the face of the resulting solid is an equilateral triangle?
Choose a positive length d that does not exceed the side length of the cube and then choose a vertex of the cube. On each of the three edges that share this vertex, mark the point that is a distance d from it. A plane slicing the cube through these three marked points will pro- duce an equilateral triangle.
Is cuboid a 3D?
A cuboid is a 3D shape. Each of its faces is a rectangle. They have six faces, twelve edges, eight vertices and all the edges are not the same length. It’s known as a rectangular prism.