1 Answer | Add Yours
You probably know the formulas for various prisms. All of these formulas use a basic formulation V=Bh where B is the cross-sectional area of the parallel bases and h the perpendicular distance between bases.
(1) parallelpipeds ("boxes") V=(lxw)h
(2) triangular prisms V=(1/2bh)H where H is the perpendicular distance between the parallel bases and h is the height of the triangular base.
(3) prisms with regular polygons as bases V=(1/2ap)h where a is the apothem and p the perimeter of a base.
(4) cylinders `V=(pir^2)h` where r is the radius of the base.
In each case the cross-sectional area is the same as the area of a base and the formula is V=Bh
This can be extended to figures of any shape whose cross-sectional area remains constant. To find teh volume of a loaf of bread, if we assume each slice has the same area, is just the area of a slice times the length of the loaf. Finding the area of the slice may require advanced techniques, but the result still holds.
We’ve answered 319,816 questions. We can answer yours, too.Ask a question