Example Question - polyhedron

Calculating Volumes of Rectangular Prisms and Polyhedron

To calculate the volume of each rectangular prism and the combined polyhedron, use the formula: Volume of a rectangular prism = length × width × height For Rectangular Prism 1: - Length = 11 mm - Width = 5 mm - Height = 8 mm Volume = 11 mm × 5 mm × 8 mm = 440 cubic millimeters For Rectangular Prism 2: - Length = 15 mm - Width = 8 mm - Height = 8 mm Volume = 15 mm × 8 mm × 8 mm = 960 cubic millimeters Now for the combined polyhedron which is the sum of the volumes of the two prisms: Volume = Volume of Prism 1 + Volume of Prism 2 Volume = 440 mm³ + 960 mm³ = 1400 mm³ So, the answers are: A) The volume of Rectangular Prism 1 is 440 cubic millimeters. B) The volume of Rectangular Prism 2 is 960 cubic millimeters. C) The volume of the polyhedron is 1400 cubic millimeters.