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

The seismic activity density of a region is the ratio of the number of earthquakes during a given time span to the land area affected. A state had 424 earthquakes over a given time span and a land area of 71,300 square miles.What is the seismic activity density for this state? Round to the nearest ten thousandth, if necessary.

The right triangular prism has a volume of 1,152 cm3.

A section of a rectangle is shaded to form a trapezoid. The lengths of the 2 bases are 7 and x. The length of a side that forms a right angle with side x is 7.

The seismic activity density of a region is the ratio of the number of earthquakes during a given time span to the land area affected. The table shows the land area and seismic activity density.

Parallelogram A B C D is shown. Line segment X Y goes from point X on side A B to point Y on side C D to form 2 trapezoids.

Which shape could be thought of as being created by stacking congruent polygons?

An oblique cylinder is shown.

The base of a solid right pyramid is a regular hexagon with a radius of 2x units and an apothem of units.

A solid oblique cone with a slant length of 17 units is placed inside an empty cylinder with a congruent base of radius 8 units and a height of 15 units.

A cone is stacked on top of a cylinder. They both share a circular base. The total height of the composite figure is 25. The height of the cylinder is 13 and the radius is 5.

A solid right pyramid has a regular hexagonal base with an area of 5.2 cm2 and a height of h cm.

The large sphere has a diameter of 12 feet.

An oblique prism has a volume of 144 cubic units. The area of its base is 24 square units.What is the perpendicular height of the prism?

Which three-dimensional figure has double the number of edges as faces?

The right isosceles triangle shown is rotated about line k with the base forming perpendicular to k. The perimeter of the triangle is 58 units.

A sports company wants to package a ball with a 1.5-inch radius in sets of two. They have two options: a cylinder or a square prism.

The diameter of the base of the cone measures 8 units. The height measures 6 units.

The volume of the triangular block is 4 cubic inches.

An oblique prism with a square base of edge length x units has a volume of x3 cubic units. Which expression represents the height of the prism?

Half of a sphere is stacked on top of a cone. They both share a circular base. The radius of the circle is 6 millimeters. The height of the cone is 14 millimeters.