Question

Volume of a composite/compound 3D Figure: height angle is 18cm; base (length ) is 45cm; width is 17 cm; height (rectangle) is 20cm; This prism is a composite figure with 2 prisms combined. Find the volume of each prism separately then add the volumes together.: Part 1 Find the volume of the rectangular prism _____yards; Part 2 Find the volume of the Triangular prism ____yards; Part 3 Find the Sum of the volume of the two prisms______yards

Answer 1

Part 1:
Volume of rectangular prism = length * width * height
Volume = 45cm * 17cm * 20cm
Volume = 15300 cm^3

Part 2:
Volume of triangular prism = 1/2 * base * height * width
Volume = 1/2 * 45cm * 18cm * 17cm
Volume = 2295 cm^3

Part 3:
Sum of the volumes of the two prisms = 15300 cm^3 + 2295 cm^3
Sum = 17595 cm^3

Therefore,
Part 1: The volume of the rectangular prism is 15300 cm^3
Part 2: The volume of the triangular prism is 2295 cm^3
Part 3: The sum of the volumes of the two prisms is 17595 cm^3