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What is a cross section of a cube?
It depends on the angle of the plane of the cross section. If it is parallel to the cube's face (or equivalently, two adjacent edges) the cross section will be a square congruent to the face. If the plane is parallel to just one edge (and so angled to a face), the cross section will be a rectangle which will have a constant width. Its length will increase, remain at a maximum level and then decrease. If neither, it will be a hexagon-triangle-hexagon-triangle-hexagon (triangles when passing through a vertex).
What is a cylinders 2d name?
You cannot have a 2d cylinder. The 2d cross section will depend on the plane of the cross section.
What is a cross section of a cuboid?
A cross-section of a cuboid is the two-dimensional shape that results from cutting the cuboid with a plane. It is formed by the intersection of the plane with the three-dimensional cuboid. The cross-section of a cuboid can be a rectangle, square, or even a triangle, depending on how the cuboid is cut. The shape and size of the cross-section will vary based on the orientation and angle of the cutting plane relative to the cuboid.
What is the shape of the cross section in a square based pyramid?
It can be a square, a trapezium, a quadrilateral or a triangle - depending on the inclination of the plane which defines the cross section.
What shape is cross section of a cone?
It depends on the angular plane of the Cross-section, to the conic axis. The conic-axis is a line from the point of the cone to the centre of a circular cross-section. #1 ; Cross section perpendicular to the acix is a CIRCLE. #2 ; Cross section angled to ther sides of the cone is an ELLIPSE #3 ; Cross section were the ends do not touch the circular face is a PARABOLA #4 ' Cross sectional plane which is parallel to the axis is a HYPERBOLA. The Cartesian Equations for each type are ;- #1 ; Circle ' x^(2) + y^(2) = 1 #2 ; Ellipse ' x^(2)/a^(2) + y^(2)/b^(2) = 1 #3 ; Parabola ' y^(2) = 4ax #4 ; Hyperbola ' x^(2)/a^(2) - y^(2)/b^(2) = 1
What is a 2d triangular prisim?
You cannot have a 2d prism. The 2d cross section will depend on the plane of the cross section.
What solid figure has the same cross section when its sliced by a plane parallel to its base as when it is sliced by a plane perpendicular to its base?
Sphere
Are the cross sections on a cube uniform?
Only if the section is taken by a plane parallel to one of the faces.
If a right circular cone intersects a plane that runs parallel?
Then the cross-section is a circle or a point.
What does a plane that cuts a triangular pyramid parallel to its base result to?
It creates a triangular frustum.
What is a cross section of a cube?
It depends on the angle of the plane of the cross section. If it is parallel to the cube's face (or equivalently, two adjacent edges) the cross section will be a square congruent to the face. If the plane is parallel to just one edge (and so angled to a face), the cross section will be a rectangle which will have a constant width. Its length will increase, remain at a maximum level and then decrease. If neither, it will be a hexagon-triangle-hexagon-triangle-hexagon (triangles when passing through a vertex).
How Do you make a cross section of a parallelogram from a pyramid?
It depends on the pyramid. If it is a square based pyramid, a horizontal plane will give a square cross section, a plane inclined by a rotation parallel to one of the base axes will give a rectangular cross section whereas a plane inclined by rotation along both basal axes will result in a parallelogram cross section. Not sure how you get a parallelogram from a pentagonal or hexagonal (etc) pyramid.
Which two-dimensional figure could be a cross section of a rectangular pyramid that has been intersected by a plane parallel to its base?
A rectangle.
What is the intersection of a solid and a plane parallel to the base or bases of the solid?
It is a horizontal cross-section. Its shape will depend on the shape of the solid and its orientation.
Is it possible for two lines that are not in the same plane to be parallel?
No.When they are on different planes and they do not cross, they are called skew lines, they are not considered parallel. When they ARE parallel, it means that they do not cross and they both lie on ONE plane
If a right circular cone intersects a plane that runs parallel to cones axis but doesnt cross it?
If your question is "What is the cross-section of the intersection?" then the answer is "A circle." Otherwise, I can't make sense of the question.
What is the intersection of a plane and a solid?
It is a cross section.
