Formulas for volume of figures, including cone, sphere, and others.
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
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General formula for prisms and cylinders | V=Bh
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Rectangular prism | V=lwh (note: all sides must be at right angles)
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Triangular prism (t=height for this only) | V=(1/2*bh)t
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Other prism (p=perimeter of base, a=apothem) | V=1/2*aph
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Cylinder | V=πr²h
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Oblique prism/cylinder | same as right prism/cylinder (but "base" must be perpendicular to the line used for "height")
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Cone | V=1/3*πr²h
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General formula for pyramids | V=1/3*Bh
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Polygonal pyramids (when apothem is given) | V=1/6*aph
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Sphere | V=4/3*πr³
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Square pyramid | V=1/3*lwh
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Triangular pyramid (t=height) | V=1/3*bht
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Hourglass shape | V=1/3*πr²
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