Geometry: Three-dimensional subjects

r^2 * pi * h

r^2 * pi * h

The volume of the cylinder’s formula.

Oblique cylinder

The “slanted” cylinder; in a/an ___, the bases are parallel to each other, but the sides make one angle that is not 90 degree.

Right cylinder

The “straight” cylinder; in a/an ___, the bases are parallel to each other and the sides make an angle that is 90 degree.

Pyramid

A solid with a polygon base and triangular lateral faces that meet in a vertex; they are named by their base shape.

( area of base * h ) / 3

The volume of the pyramid’s formula.

( r^2 * pi * h ) / 3

The volume of the cone’s formula.

Sphere

The set of all points in three-dimensional space lying at the same distance (radius) from a given point (the center), or the result of rotating a circle about one of its diameter.

( r^3 * pi ) * 4/3

The volume of the sphere’s formula.

Cross section

The shape you see when you make one slice through a solid.

Slant

To lean in a position that is not vertical.

Density

The ratio of an object’s mass to its volume.

d = m / V

Density’s formula.

perimeter of base * h + 2 * area of base

The surface area of prism’s formula

1/2 * perimeter of base * slant height + area of base

The surface area of regular pyramid’s formula

2 * pi * r * h + 2 * r^2 * pi

The surface area of cylinder’s formula

pi * r * slant height + pi * r^2

The surface area of cone’s formula

4 * r^2 * pi

The surface area of sphere’s formula

Cone

A pyramid with a circular base.

Parabola

A curve formed by the intersection of a cone with a plane parallel to a straight line in its surface.

Hyperbola

Two-branched open curve, a conic section, produced by the intersection of a circular cone and a plane that cuts both nappes (see cone) of the cone.

Ellipse

A regular oval shape.

Volume

The amount of space that is contained within an object or solid shape.

Great circle

The largest possible circle that can be drawn around a sphere.

Small circle

A cirlce that lies on a sphere.

Horizontal cross section

Vertical cross section

number of people / area of land

Population density

1/2 x ab x sinC

Area of a triangle using sines of an angle.

a^3 / 6 * square root(2)

Volume of a tetrahedron.

a^2 * square root(3) / 4

Area of one side of a tetrahedron.

Circle

A simple closed curve, with a set of all points at a constant distance from a fixed center pointer, in the same plane.

Net

A 2-dimensional shape that can be folded to form a 3-dimensional shape or a solid.