Volume of Pyramids and Cones (HSC SSCE Mathematics Standard): Flashcards

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Volume of Pyramids and Cones
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Pyramid volume vs prism with same base & height

Pyramid is exactly 1/3 of prism volume

General formula for pyramid or cone volume

V=13AhV = \frac{1}{3}Ah

AA in pyramid volume formula V=13AhV = \frac{1}{3}Ah

Area of the base

hh in pyramid volume formula V=13AhV = \frac{1}{3}Ah

Perpendicular height from base to apex

Square pyramid volume formula (side ss, height hh)

V=13×s2×hV = \frac{1}{3} \times s^2 \times h

Rectangular pyramid volume (length ll, breadth bb, height hh)

V=13×l×b×hV = \frac{1}{3} \times l \times b \times h

Cone volume formula (radius rr, height hh)

V=13×πr2×hV = \frac{1}{3} \times \pi r^2 \times h

Key to finding pyramid/cone volume

Identifying the shape of the base

Units for volume measurements

Cubic units (m³, cm³, etc.)

Area of circle base for cone (radius rr)

A=πr2A = \pi r^2

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