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any two points on its surface can be connected by a segment that lies entirely inside or on the polyhedron
a polyhedron in which the base is a polygon and the lateral faces are triangles with a common vertex
has a regular polygon for a base and the segment joining the vertex and the center of the base is perpendicular to the base
the segment joining the vertex and the center of the base is perpendicular to the base, and the slant height is the distance between the vertex and a point on the base edge
Lateral Surface (of a Cone)
consists of all segments that connect the vertex with points on the base edge
half of a sphere, formed when a great circle separates a sphere into two congruent halves
two solids of the same type with equal ratios of corresponding linear measures, such as height or radii
Volume Addition Postulate
The volume of a solid is the sum of the volumes of all its non-overlapping parts
Surface Area of a Right Prism
The surface are S of a right prism is S=2B+Ph= aP+Ph, where a is the apothem of the base, B is the area of a base, P is the perimeter of a base, and h is the height.
Surface Area of a Right Cylinder
The surface area S of a right cylinder is S=2B+Ch=2πr²+2 πrh, where B is the area of a base, C is the circumference of a base, r is the radius of a base, and h is the height
Surface Area of a Regular Pyramid
The surface area S of a regular pyramid is S=B+1/2Pl, where B is the area of the base, P is the perimeter of the base, and l is the slant height
Surface Area of a Right Cone
The surface area S of a right cone is S=B+1/2Cl = πr² = πrl, where B is the area of the base, r is the radius of the base, and l is the slant height
Volume of a Prism
The volume V of a prism is V=Bh where B is the area of a base and h is the height.
Volume of a Cylinder
The volume V of a cylinder is V=Bh=πr²h, where B is the area of a base, h is the height, and r is the radius of a base
If two solids have the same height and the same cross-sectional area at every level, then they have the same volume
Volume of a Pyramid
The volume V of a pyramid is V=⅓Bh, where B is the area of the base and h is the height
Volume of a Cone
The volume V of a cone is V=⅓Bh = ⅓πrh, where B is the area of the base, h is the height, and r is the radius of the base
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