Find volumes of prisms. Find volumes of cylinders.
The volume of a figure is the measure of the amount of space that a figure encloses. Volume is measured in cubic units. (units³) You can create a rectangular prism from different views of the figure to investigate its volume.
If a prism has a volume of V cubic units, a height of h units, and each base has an area of B square units, then V=Bh. Area of Base=B h
a 8 cm 17 cm 13 cm Find the volume of the triangular prism.
a² + b² = c²Use Pythagoream Theorem. a² + 8² = 17²b=8, c=17 a² + 64 = 289Multiply. a² = 225Subtract 64 from both sides. a = 15Take the square root of both sides. V= BhNext, find the volume of the prism. V=½(8)(15)(13) Substitute the numbers in. V=780 cm³ Multiply.