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What conclusions can you make about a cross section made parallel to the base math?
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What has a circular cross section when the cross section is taken parallel?
A cylinder has a circular cross section that is parallel to its base.
What do spheres and cylinders have in common?
The cross section of a sphere is most often a circle. When the cross section is taken parallel to the base of a cylinder, it is also a circle.
Given a cylinder with radius 8 in and height 11 in find the area of a cross section that is parallel to its base. Leave your answer in terms of pi.?
The area of a cross section of a cylinder that is parallel to its base is equal to the area of the base. In this case, the base of the cylinder is a circle with a radius of 8 inches. Therefore, the area of the cross section is 64pi square inches.
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 is the definition of a uniform cross-section?
A Uniform Cross Section is the cross section of the solid, parallel to base, such that the resulting figure has the same shape and size as that of the base of the figure.More about Uniform Cross SectionSolids like pyramids and cones have slant heights and hence do not have uniform cross section.Examples of Uniform Cross SectionThe uniform cross section of the given prism is a square.The uniform cross section of the given cylinder is a circle.In short to say, uniform cross-section are when you dissect a 3D solid and you get all same shape (uniform).
What has a circular cross section when the cross section is taken parallel?
A cylinder has a circular cross section that is parallel to its base.
If you slice a rectangular pyramid perpendicular to the base but NOT through the apex what will be the shape of the cross section?
It will be one of:a triangle if where the cross section cuts the base is through two adjacent sides;an irregular quadrilateral if where the cross section cuts the base is through two opposite sides but not parallel to a side of the base; ora trapezium if where the is the cross section cuts the base is parallel to a side of the base.
What is the shape of the cross section of a hexagonal prism if the cut is made parallel to a base?
A hexagon.
What do spheres and cylinders have in common?
The cross section of a sphere is most often a circle. When the cross section is taken parallel to the base of a cylinder, it is also a circle.
Given a cylinder with radius 8 in and height 11 in find the area of a cross section that is parallel to its base. Leave your answer in terms of pi.?
The area of a cross section of a cylinder that is parallel to its base is equal to the area of the base. In this case, the base of the cylinder is a circle with a radius of 8 inches. Therefore, the area of the cross section is 64pi square inches.
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
Brad cuts a triangular prism with a plane parallel to the base of the prism. What will the shape of the cross section be?
Triangular
What is the definition of a uniform cross-section?
A Uniform Cross Section is the cross section of the solid, parallel to base, such that the resulting figure has the same shape and size as that of the base of the figure.More about Uniform Cross SectionSolids like pyramids and cones have slant heights and hence do not have uniform cross section.Examples of Uniform Cross SectionThe uniform cross section of the given prism is a square.The uniform cross section of the given cylinder is a circle.In short to say, uniform cross-section are when you dissect a 3D solid and you get all same shape (uniform).
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.
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 is the volume of an object having square cross section at bottom and circular cross section at height h?
From the square base to the circular top at height h, assuming that the base and top planes are parallel, and letting base side = s and top radius = r: Volume = ½h(s2 + pi r2)
