Cavalieri's Principle and Volume of Composite Figures — Unit test Answers

An oblique cylinder has a diameter of 14 units. The volume of the cylinder is 1,176π cubic units.

The height of a right rectangular prism is three times the width of the base. The length of the base is twice the width.

Which shape has a vertex that is also an apex?

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

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 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.

A right square prism has a volume of 360 cubic units.Which could be the dimensions, in units, of the prism? Select three options.3 by 3 by 404 by 4 by 205 by 5 by 142.5 by 12 by 123.6 by 10 by 10

A right cylinder has a radius of 2 units and a height of 5 units.

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

An oblique prism is created using rhombuses with edge lengths of 25 units. The area of one rhombus is 600 square units. The perpendicular distance between the bases is 24 units.What is the volume of the prism?

A rectangular prism with a square base is cut from the center of a triangular prism. Each side of the square base measures 1.7 units.

The oblique pyramid has a square base with an edge length of 5 cm. The height of the pyramid is 7 cm.

A solid oblique pyramid has an equilateral triangle as a base with an edge length of 4 cm and an area of 12 cm2.

What is the difference of the volumes of the two oblique pyramids, both of which have square bases? Round the volumes to the nearest tenth of a centimeter.