Geometry: Three-dimensional subjects

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Geometry & Trigonometry

3D Shapes

10th

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32 Terms

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r^2 \* pi \* h
The volume of the cylinder’s formula.
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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.
The “slanted” cylinder; in a/an ___, the bases are parallel to each other, but the sides make one angle that is not 90 degree.
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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.
The “straight” cylinder; in a/an ___, the bases are parallel to each other and the sides make an angle that is 90 degree.
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Pyramid
A solid with a polygon base and triangular lateral faces that meet in a vertex; they are named by their base shape.
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( area of base \* h ) / 3
The volume of the pyramid’s formula.
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( r^2 \* pi \* h ) / 3
The volume of the cone’s formula.
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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.
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( r^3 \* pi ) \* 4/3
The volume of the sphere’s formula.
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Cross section
The shape you see when you make one slice through a solid.
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Slant
To lean in a position that is not vertical.
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Density
The ratio of an object’s mass to its volume.
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d = m / V
Density’s formula.
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perimeter of base \* h + 2 \* area of base
The surface area of prism’s formula
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1/2 \* perimeter of base \* slant height + area of base
The surface area of regular pyramid’s formula
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2 \* pi \* r \* h + 2 \* r^2 \* pi
The surface area of cylinder’s formula
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pi \* r \* slant height + pi \* r^2
The surface area of cone’s formula
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4 \* r^2 \* pi
The surface area of sphere’s formula
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Cone
A pyramid with a circular base.
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Parabola
A curve formed by the intersection of a cone with a plane parallel to a straight line in its surface.
A curve formed by the intersection of a cone with a plane parallel to a straight line in its surface.
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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.
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.
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Ellipse
A regular oval shape.
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Volume
The amount of space that is contained within an object or solid shape.
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Great circle
The largest possible circle that can be drawn around a sphere.
The largest possible circle that can be drawn around a sphere.
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Small circle
A cirlce that lies on a sphere.
A cirlce that lies on a sphere.
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Horizontal cross section
knowt flashcard image
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Vertical cross section
knowt flashcard image
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number of people / area of land
Population density
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1/2 x ab x sinC
Area of a triangle using sines of an angle.
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a^3 / 6 \* square root(2)
Volume of a tetrahedron.
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a^2 \* square root(3) / 4
Area of one side of a tetrahedron.
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Circle
A simple closed curve, with a set of all points at a constant distance from a fixed center pointer, in the same plane.
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Net
A 2-dimensional shape that can be folded to form a 3-dimensional shape or a solid.