MathsVisualising Solid Shapes – 2D and 3D

Visualising Solid Shapes – 2D and 3D

All Your Visualizing Solid Shapes Class 7 Notes

Visualising Solid Shapes – Two and Three Dimensional: Solid shapes are three-dimensional shapes that have length, width, and depth. There are six basic solid shapes:

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    • Cylinder
    • Cone
    • Pyramid
    • Sphere
    • Cube
    • Cylinder

    A cylinder is a tube-shaped object with two circular ends. A cone is a pointed object with a circular base. A pyramid is a triangular object with a square base. A sphere is a round object. A cube is a square object.

    Visualising Solid Shapes – 2D and 3D

    Two Dimensional Shapes

    There are many different types of two dimensional shapes. Some of the most common are squares, rectangles, triangles, and circles.

    A square is a four-sided shape with all sides of the same length. A rectangle is a four-sided shape with two sides of the same length. A triangle is a three-sided shape with all sides of the same length. A circle is a shape with all sides of the same length and has no corners.

    Three Dimensional Shapes

    There are three types of three-dimensional shapes: polyhedrons, prisms, and pyramids.

    A polyhedron is a three-dimensional shape that has flat sides and straight angles. It is made up of a series of connected faces that all have the same shape. The most common polyhedron is a cube, which has six square faces.

    A prism is a three-dimensional shape that has two parallel, rectangular faces. It is made up of a series of connected sides that all have the same shape. The most common prism is a rectangular prism, which has six square sides and two rectangular faces.

    A pyramid is a three-dimensional shape that has a triangular base and a pointy top. It is made up of a series of connected faces that all have the same shape. The most common pyramid is a square pyramid, which has a square base and four triangular faces.

    Vertices, Edges and Faces of 3D Figures

    • A 3D figure composed of vertices, edges and faces.
    • A vertex is a point where two or more lines intersect.
    • An edge is a line segment that connects two vertices.
    • A face is a two-dimensional surface that bounded by edges.

     

    Geometric Nets for 3D Shapes

    A net is a two-dimensional object that can folded to create a three-dimensional object.

    A geometric net is a two-dimensional object that can folded to create a three-dimensional object with specific geometric properties.

    There are three types of nets for three-dimensional shapes:

    • Prism nets are for shapes that have two parallel, rectangular bases.
    • Cylinder nets are for shapes that have one circular base.
    • Sphere nets are for shapes that have one round base.

    How to Draw 3D Figures on Flat Surfaces?

    There is no one definitive way to draw 3D figures on flat surfaces. Some possible methods include using shading and perspective, drawing outlines of each side of the figure, and using basic geometry to create shapes that resemble 3D objects.

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