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olume, surface area and nets of pyramids, cones and compound…
olume, surface area and nets of pyramids, cones and compound threedimensional shapes
Pyramids
A pyramid is a polyhedron with a polygonal base and triangular faces that meet at a common vertex. The height of a pyramid is the perpendicular distance from the base to the vertex.
The formula for the volume of a pyramid is V = (1/3)Bh, where B is the area of the base and h is the height of the pyramid.
The surface area of a pyramid is the sum of the areas of its base and its lateral faces. The formula for the surface area of a pyramid is S = B + (1/2)Pl, where B is the area of the base, P is the perimeter of the base, and l is the slant height of the pyramid.
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Nets of a cone can be formed by cutting and unfolding the curved surface of a cone into a flat surface. The net of a cone consists of a circular sector and a triangle that forms the lateral surface.
Cones
A cone is a three-dimensional shape with a circular base and a curved surface that tapers to a point called the apex.
The formula for the volume of a cone is V = (1/3)πr^2h, where r is the radius of the base and h is the height of the cone.
The surface area of a cone is the sum of the area of its base and its lateral surface. The formula for the surface area of a cone is S = πr^2 + πrl, where r is the radius of the base, l is the slant height of the cone, and π is pi (approximately equal to 3.14).
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