A rectangular pyramid fits exactly on top of a rectangular prism. Find the volume of the composite space figure if the prism has a length of 14 centimeters, a width of 3 centimeters, a height of 16 centimeters, and the pyramid has a height of 15 centimeters.
First we calculate for the volume of the prism, V = Length x width x height V = (14 cm) x (3 cm) x (16 cm) = 192 cm³ Then, we calculate for the volume of the pyramid through the equation, V = (1/3)(Bh) where B is the area of the base that in this sample is equal to 42 cm². Substituting, V = (1/3)(42 cm²)(15 cm) = 210 cm³ Then, adding both volumes we have 402 cm³ composite figure.
