Cavalieri's Principle and Volume of Composite Figures Answers

The composite figure is made up of two congruent rectangular pyramids joined at their bases.

A three-dimensional model of Lucia’s apartment is shown. To cool the whole apartment, an air conditioner must provide 2.5 BTUs per cubic foot.

This composite figure is made of two identical pyramids attached at their bases. Each pyramid has a height of 2 units.

The large sphere has a diameter of 20 feet.

A frustum is formed when a plane parallel to a cone’s base cuts off the upper portion as shown.

Which expressions represent the volume of metal needed, in cubic millimeters, to make the pipe? Select two options.

A pyramid with a rectangular base is stacked on top of rectangular prism. The height of the composite figure is 10. The lengths of the rectangular base are 8 and 6 units. The height of the rectangular prism is 4.

A cylinder is shown. A half-sphere is stacked on the top and the bottom of the cylinder. The diameter of the cylinder if 20 and the height of the cylinder is 28.

A pyramid with a rectangular base is stacked on top of rectangular prism. The height of the composite figure is 12 inches. The lengths of the rectangular base are 7 inches and 3 inches. The height of the rectangular prism is 4 inches.

A frustum is formed when a plane parallel to a cone’s base cuts off the upper portion as shown.