VOLUME OF 3D OBJECTS MAP4C. BASICS BEHIND THE VOLUME FORMULAE If we took a square and found its area we would use A = Lw If we took many squares and stacked.

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VOLUME OF 3D OBJECTS MAP4C

BASICS BEHIND THE VOLUME FORMULAE If we took a square and found its area we would use A = Lw If we took many squares and stacked them face-to-face against each other, we would create a rectangular prism. L w Slices of squares stacked face-to- face. h Rectangular Prism

BASICS BEHIND THE VOLUME FORMULAE For a rectangular prism, V = area of base x height V = Lwh Volume for prisms and cylinders can be found by multiplying the area of the base with the overall depth or height of the object. The volume of a cylinder is the base area times the height V = πr 2 h r Cylinder

TRIANGULAR PRISM The area of the base is the area of a triangle: A = ½ bh The volume of a triangular based prism is the base area times the height V = ½ bhL

CONE The volume of a cone is 1/3 the volume of a cylinder as it holds 1/3 the volume of fluid in it. V = 1/3 πr 2 h

SPHERE This formula is a little more complicated:

CHECK UNITS The units for volume are cubic as we are multiplying 3 dimensions. Check each question to see what the units are and state the appropriate units at the end of the calculation (m 3, cm 3, mm 3, ft 3, etc)

EXAMPLES Word document