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What is the cross section of a paraboloid?
The cross section of a paraboloid, when sliced parallel to its axis of symmetry, is a parabola. If the slice is made perpendicular to the axis, the cross section can be a circle or an ellipse, depending on the orientation and position of the cut. The specific shape of the cross section will vary based on the location and angle of the slice in relation to the paraboloid.
Solid shape having a single circular base?
There are many possible answers: A sphere sliced by a plane. An ellipsoid with two equal radii, sliced by a plane parallel to them. A paraboloid sliced by a plane perpendicular to its axis. A cone.
What 3d shape has one curved?
A sphere, a cone, a section of a sphere or ellipsoid, a torus (doughnut) sliced by a plane perpendicular to its axis, a paraboloid. These are some examples.
What shape is the cross section of a square pyramid when sliced perpendicular to its base through a vertex?
When a square pyramid is sliced perpendicular to its base through a vertex, the cross section will be a triangle. This triangle will have one vertex at the apex of the pyramid and the other two vertices on the base, forming a triangular shape that includes one of the pyramid's edges and a segment of the base. The resulting triangle will be isosceles if the slice is made symmetrically.
What shape is the cross section a cube?
The cross-section of a cube can vary depending on how it is cut. If sliced parallel to one of its faces, the cross-section will be a square. If cut diagonally, the cross-section can be a rectangle or a more complex polygon, depending on the angle and position of the cut.
What is the cross section of a paraboloid?
The cross section of a paraboloid, when sliced parallel to its axis of symmetry, is a parabola. If the slice is made perpendicular to the axis, the cross section can be a circle or an ellipse, depending on the orientation and position of the cut. The specific shape of the cross section will vary based on the location and angle of the slice in relation to the paraboloid.
Make a sentence with cross-section?
The cross section of a figure is done by slicing part of the figure off a certain way. Inside the sliced area, there will be a 2-D figure. That 2-D figure is the cross section of the figure.
Solid shape having a single circular base?
There are many possible answers: A sphere sliced by a plane. An ellipsoid with two equal radii, sliced by a plane parallel to them. A paraboloid sliced by a plane perpendicular to its axis. A cone.
What 3d shape has one curved?
A sphere, a cone, a section of a sphere or ellipsoid, a torus (doughnut) sliced by a plane perpendicular to its axis, a paraboloid. These are some examples.
What shape is the cross section of a square pyramid when sliced perpendicular to its base through a vertex?
When a square pyramid is sliced perpendicular to its base through a vertex, the cross section will be a triangle. This triangle will have one vertex at the apex of the pyramid and the other two vertices on the base, forming a triangular shape that includes one of the pyramid's edges and a segment of the base. The resulting triangle will be isosceles if the slice is made symmetrically.
What shape is the cross section a cube?
The cross-section of a cube can vary depending on how it is cut. If sliced parallel to one of its faces, the cross-section will be a square. If cut diagonally, the cross-section can be a rectangle or a more complex polygon, depending on the angle and position of the cut.
What is produced when you slice a cone with a plane that is parallel to the base of the cone?
That conic section is a circle.When you slice a cone with a plane parallel to the base of the cone, the sliced section is a circle, and the portion of the original cone on the side of the vertex is again a cone.An isosceles cone would be the out come
What is the view of the inside of a three dimensional figure called when it is sliced?
coronal cuts....
What is the name of the shape of a pyramid without its top?
The shape of a pyramid without its top is called a frustum. A frustum is formed when a pyramid is sliced parallel to its base, resulting in a truncated shape that has two parallel bases: one larger and one smaller. This geometric figure retains the original triangular faces of the pyramid, minus the apex.
If a right rectangular pyramid is sliced with a plane perpendicular to its base and containing its vertexwhat shape would be formed?
They would be two right triangular pyramids.
You have one curved face and one flat face who are you?
A cone, or a parabolic section, or a section of a sphere like a hemisphere, or a torus (donut) sliced in half sideways.
What is produced when you slice a cone at different angles?
When a cone is sliced parallel to the base then the shape produced is a circle. If the cone is sliced at an angle so that the cut goes completely through the cone then an ellipse is produced. If the cut is made perpendicular to the cone's base then the shape produced is a parabola.
