Cross Sections of 3D Shapes
Explore cross sections of various three-dimensional geometric figures, identifying the resulting two-dimensional shapes.
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Cross Sections of 3D Shapes
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Read each question carefully and determine the shape of the cross section. Draw the cross section if requested and label its dimensions.
1. A cube is sliced by a plane parallel to its base. What shape is the cross section?
2. A right circular cylinder is sliced by a plane perpendicular to its base, passing through the center. What shape is the cross section?
3. A cone is sliced by a plane parallel to its base. What shape is the cross section?
4. Consider a rectangular prism with length 6 cm, width 4 cm, and height 3 cm. Draw the cross section formed by a plane cutting the prism horizontally, parallel to the base.
5. A sphere with a radius of 5 cm is cut by a plane passing through its center. Draw the cross section and label its key dimension.
6. A square pyramid is sliced by a plane perpendicular to its base, passing through the apex. What shape is the cross section?
Square
Rectangle
Triangle
Trapezoid
7. Which of the following 2D shapes cannot be a cross section of a cube?
Triangle
Pentagon
Hexagon
Circle
8. A cross section of a cone can be an ellipse.
True
False
9. A cross section of a triangular prism, cut parallel to its base, will always be a triangle.
True
False
10. When a plane intersects a 3D figure, the resulting 2D shape is called a .
11. A cross section of a square pyramid that passes through the apex and is perpendicular to the base will be a .
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