1. For the first composite figure, we have a rectangular prism on top of a cube. Let's find the volume of each shape separately and then add them together.
Volume of cube = s^3
Volume of cube = 4^3 = 64 cubic units
Volume of rectangular prism = lwh
Volume of rectangular prism = 6 x 4 x 3 = 72 cubic units
Total volume of composite figure = 64 + 72 = 136 cubic units
2. For the second composite figure, we have a cylinder on top of a cone. Let's find the volume of each shape separately and then add them together.
Volume of cone = (1/3)πr^2h
Volume of cone = (1/3) x π x 3^2 x 4 = 12π cubic units
Volume of cylinder = πr^2h
Volume of cylinder = π x 3^2 x 6 = 54π cubic units
Total volume of composite figure = 12π + 54π = 66π cubic units
3. For the third composite figure, we have a pyramid on top of a rectangular prism. Let's find the volume of each shape separately and then add them together.
Volume of pyramid = (1/3)lwh
Volume of pyramid = (1/3) x 5 x 4 x 6 = 40 cubic units
Volume of rectangular prism = lwh
Volume of rectangular prism = 5 x 4 x 6 = 120 cubic units
Total volume of composite figure = 40 + 120 = 160 cubic units
These are the answers for the volume of the composite 3D figures.
Volume of Composite 3D Figures Practice Answers
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