A cube is a three-dimensional shape with six equal square faces. Each face meets another at a right angle, and a cube has 12 equal edges and 8 vertices (corners). All cube edges are the same length, making it a regular polyhedron. It can also be considered a special type of rectangular prism where the length, width, and height are all equal. Cubes are common in geometry and everyday objects, such as dice and building blocks.
A triangular prism is a three-dimensional shape with two identical triangular bases and three rectangular faces connecting them. The two triangular bases are parallel and congruent, and the three rectangular faces are perpendicular to the bases. The height of the prism is the distance between the two triangular bases. Triangular prisms are commonly seen in various structures and objects, such as roof designs and certain types of packaging.
A pyramid is a three-dimensional shape with a polygonal base and triangular faces that converge to a single point called the apex. The base can be any polygon, but the most common pyramids have a square or triangular base. The triangular faces are called the lateral faces, and they meet at the apex. The height of the pyramid is the perpendicular distance from the apex to the center of the base.
A cone is a three-dimensional shape with a circular base and a single curved surface that tapers smoothly from the base to a point called the apex or tip. The height of a cone is the perpendicular distance from the base to the apex. The curved surface connects the base to the apex, creating a shape that resembles an ice cream cone or a funnel. Cones are commonly found in everyday objects and have applications in various fields, including engineering and design.
A rectangular prism is a three-dimensional shape with six rectangular faces, where each face meets another at a right angle. It has 12 edges and 8 vertices (corners). The opposite faces are parallel and equal in size. The length, width, and height of a rectangular prism are all different, and each pair of faces is perpendicular to the other pairs. This shape is also known as a cuboid and is commonly seen in everyday objects like boxes and rooms.
A sphere is a perfectly round, three-dimensional shape where every point on the surface is equidistant from the center. It has no edges or vertices. The distance from the center to any point on the surface is called the radius, and the longest distance across the sphere, passing through the center, is called the diameter, which is twice the radius. Spheres are commonly seen in objects like balls and bubbles and have a smooth, symmetrical shape.
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