Volume of a Pyramid (VCE SSCE General Mathematics): Flashcards

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Volume of a Pyramid
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Definition of a pyramid

3D shape with polygon base, triangular faces meeting at apex

Apex of a pyramid

Single point where triangular faces meet

Pyramid vs prism volume relationship

Pyramid = 1/3 of prism (same base & height)

General volume formula for any pyramid

V=13×base area×heightV = \frac{1}{3} \times \text{base area} \times \text{height}

Volume formula for rectangular pyramid

V=13lwhV = \frac{1}{3}lwh

hh in pyramid volume formula

Perpendicular height from base to apex

Perpendicular vs slant height for pyramid volume

Use perpendicular (vertical), not slant

Units for volume

Cubic units (cm³, m³)

Pyramid formula works for which base shapes?

Any polygon (square, rectangle, triangle, hexagon, etc.)

Variables in V=13lwhV = \frac{1}{3}lwh

ll = length, ww = width, hh = perpendicular height

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