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What shapes have the cross section as a circle?
Shapes that have a circular cross-section include cylinders, spheres, and cones. In a cylinder, each cross-section parallel to the base is a circle, while a sphere has circular cross-sections at any plane that intersects it. A cone also has circular cross-sections parallel to its base, becoming smaller as it approaches the apex.
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.
Which describes all cross-sections of a square pyramid where the intersecting plane is parallel to the base?
there are no square pyramids. they are not of the same
What is the shape of a cross section parallel to the base of a prism?
A cross section parallel to the base of a prism retains the same shape as the base itself. This is because prisms have uniform cross sections along their height, meaning the dimensions and angles of the base are consistent throughout. Therefore, if the base is a triangle, rectangle, or any other shape, the cross section will also be that same shape.
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
What describes all cross sections of a square pyramid where the intersecting plane is parallel to the base?
All cross sections of a square pyramid that are parallel to the base are squares
What is a cross section of a cone?
Circle: If the knife is perpendicular to the axis of the cone.Ellipse: If the knife is between (perpendicular to the axis of the cone) and (parallel to the side of the cone).Parabola: If the knife is between (parallel to the side of the cone) and (parallel to the axis of the cone).Hyperbola: If the knife is parallel to the axis of the cone.Triangle: If the knife is perpendicular to the base of the cone.Point: If the knife is parallel to the base the cone and through the apex
What shapes have the cross section as a circle?
Shapes that have a circular cross-section include cylinders, spheres, and cones. In a cylinder, each cross-section parallel to the base is a circle, while a sphere has circular cross-sections at any plane that intersects it. A cone also has circular cross-sections parallel to its base, becoming smaller as it approaches the apex.
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.
Which describes all cross-sections of a square pyramid where the intersecting plane is parallel to the base?
there are no square pyramids. they are not of the same
What is the shape of a cross section parallel to the base of a prism?
A cross section parallel to the base of a prism retains the same shape as the base itself. This is because prisms have uniform cross sections along their height, meaning the dimensions and angles of the base are consistent throughout. Therefore, if the base is a triangle, rectangle, or any other shape, the cross section will also be that same shape.
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
What shape does not have a rectangular cross section?
A cylinder does not have a rectangular cross section. Its cross sections are circular, regardless of the angle at which it is cut, as long as the cut is parallel to the base. Other shapes, like spheres or cones, also lack rectangular cross sections.
What solid has cross sectional shapes taken to parallel to a base that are similar but not congruent to one another?
A tapered prism.
A pyramid has cross sectional shapes taken parallel to its base that are what to one another?
The cross-sectional shapes taken parallel to the base of a pyramid are similar to one another. This similarity arises because these sections maintain the same proportions and angles as the base, regardless of their position along the height of the pyramid. As a result, each cross section is a scaled-down version of the base shape.
The figure formed by the intersection of a solid with a plane parallel to the base of the solid is congruent to the base if the solid is a?
The answer would be a right cylinder. A right cylinder is a cylinder that has a closed circular surface having two parallel bases on both the ends and whose elements are perpendicular to its base.
What are the vertical and horizontal cross sections of a rectangular pyramid?
The vertical cross sections are trapezia or triangles. The horizontal cross sections are rectangles which are mathematically similar to the base.
