Volume of Cylinders, Cones, and Spheres — Unit test Answers

On a coordinate plane, parallelogram A B C D has points (3, 6), (6, 5), (5, 1), and (2, 2).

A regular octagon has a radius of 6 ft and a side length of 4.6 ft.

Two sides of an obtuse triangle measure 12 inches and 14 inches. The longest side measures 14 inches.What is the greatest possible whole-number length of the unknown side?

On a coordinate plane, triangle G H J has points (1, 1), (4, 1), (4, 5).

On a coordinate plane, triangle Q R S has points (negative 1, 2), (1, negative 4), (negative 2, negative 2).

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?

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

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.

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

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.

An area reserved for a parking lot is 80 feet long and 77 feet wide. The stalls of the lot are at 90° angles to two one-way aisles. Each aisle is 80 feet by 10 feet. The three areas set aside for the parking spaces are congruent rectangles.

Polygon A B C D E F has 6 sides. Angle A is 170 degrees, angle C is 133 degrees, angle D is 102 degrees, angle E is 117 degrees, and angle F is 90 degrees.

The volume of the triangular block is 4 cubic inches.

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

A solid right pyramid has a regular hexagonal base with an area of 7.4 units2. The pyramid has a height of 6 units.

A polygon with 9 sides is shown. An exterior angle has a measure of x degrees.

The volume of an object is equal to the ratio of its mass to density, V = . The mass of a spherical grape is 8.4 grams and its density is 2 grams per cubic centimeter.What is the radius of the grape? Round to the nearest tenth of a centimeter.

A solid oblique pyramid has a regular pentagonal base. The base has an edge length of 2.16 ft and an area of 8 ft2. Angle ACB measures 30°.

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