Volume, Density & 3D Solids

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Volume

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The measure of the amount of three dimensional space an object occupies.

Units are cubed (power of 3)

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Density

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The degree of compactness of a substance, calculated as mass per unit volume.

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Area

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The measure of the amount of two dimensional space an object occupies.

Units are squared (power of 2)

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Revolution (in geometry)

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A complete turn around a center point or axis, often used in the context of rotating two dimensional shapes to form three dimensional solids.

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Slice (in geometry)

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A section of a three dimensional solid object cut parallel to a base resulting in a two dimensional cross-section.

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Base (of a 3D shape)

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The surface a solid object stands on, or the bottom part of a shape.

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Height

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The measurement from base to top or (in a 3D shape) from base to apex.

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Perimeter

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The total length of the sides or edges of a two-dimensional shape.

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Cross-section

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The shape obtained by cutting straight through a solid object, usually parallel to the base.

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Prism

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A solid geometric figure with two parallel, congruent bases connected by rectangular faces.