Question - Calculating Volumes of Rectangular Prisms and Polyhedron
Solution:
To calculate the volume of each rectangular prism and the combined polyhedron, use the formula:Volume of a rectangular prism = length × width × heightFor Rectangular Prism 1:- Length = 11 mm- Width = 5 mm- Height = 8 mmVolume = 11 mm × 5 mm × 8 mm = 440 cubic millimetersFor Rectangular Prism 2:- Length = 15 mm- Width = 8 mm- Height = 8 mmVolume = 15 mm × 8 mm × 8 mm = 960 cubic millimetersNow for the combined polyhedron which is the sum of the volumes of the two prisms:Volume = Volume of Prism 1 + Volume of Prism 2Volume = 440 mm³ + 960 mm³ = 1400 mm³So, 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.
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