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.