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=This page will teach you about Surface Area and Volume.=

Link to Surface Area and Volume [|Problems]-

Surface Area and Volume Formulas-
The surface area, and volume of a right rectangular prism wuth width, length and hight are- S = 2lw + 2wh + 2lh and V = lwh

The Surface area and volume of a cube with side are- S = 6s² and V = s³



Vocabulary-
Altitude- The hieght of something Height- The length of an altitude of a object

Surface Area of a Right Prism-
The surface area of a right prism with a lateral area, base area, perimeter and hieght is- S = L + 2B or S = hp + 2B

Cavalieri's Principle-
If two solids have the same heights and the cross sections made by every plane parallel to the bases of both solids have the same areas, then the two solids have the same volumes.

[|More on Cavalieri's Principle-]

Volume of a Prism-
The volume of a prism with height and base area is- V = Bh

Vocabulary-
Pyramid- A pyramid is a polyhedron, all but one face intersect at a point known as the vertex of the pryamid. Base- Has three or more lateral faces. Lateral Faces- The faces of a prism or pyramid but are not bases. Vertex of the Pyramid- Triangles that have a single vertex. Base Edge- Every lateral face a has one edge in common with the base. Lateral Edge- The intersection of two lateral faces. Altitude- The height of something. Height- The length of an altitude of a object. Regular Pyramid- A pyramid whose base is a regular polygon and lateral faces are triangles. Slant Height-The altitude of a regular pyramid.

Surface Area of a Regular Pyramid-
The surface area of a regular pyramid with lateral area base area perimeter of the base and slant height is- S = L + B or S = 1/2lp + B



Vocabulary-
Cylinder- Has two bases with a round tube enclosing it. Lateral Surface- Connects two bases to make a cylinder. Bases- Has three or more lateral faces. Altitude- The height of something. Height- The length of an altitude of a object. Axis- Joins the center of each of the bases together Right Cylinder- Axis are perpendicular to each other. Oblique Cylinder- Axis are not perpendicular to oneanother.

Surface Area of a Right Cylinder-
The surface area of a right cylinder with lateral area base area.

Volume of a Cylinder-
The volume of a cylinder with a radius, height and base area is- V = Bh or V = πr²h

Vocabulary-
Cone- Three-dimensional figure that has a circular base. Base- Has three or more lateral faces. Lateral Surface- Connects two bases to make a cylinder. Vertex- Connects to the base of a single point not in the plane of the base. Altitude- The height of something. Height- The length of an altitude of a object. Right Cone- The altitude of a cone meets the base of a cone at its center. Oblique Cone- Any cone that is not a right cone.

Surface Area of a Right Cone-
The surface area of a right cone with a lateral area, radius, base of area and slant height is- S = L + B or S = πrl + πr²

Volume of a Cone-
The volume of a cone with a height, radius and base area is- V = 1/3Bh or V = 1/3πr²h

[|More on understanding Volume of a Cone]-



Vocabulary-
Sphere- All points in space that are the same exact distance from the center of the sphere.

Volume of a Sphere-
The volume of a sphere with a radius is- V = 4/3πr³

Surface Area of a Sphere-
The surface area of a sphere with a radius is- S = 4πr²

[|Formulas-]