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

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

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.

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°.

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.

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

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?

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

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

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.

The large sphere has a diameter of 12 feet.

An oblique cylinder is shown.

Every possible cross section of a three-dimensional figure is a circle. What is the figure?

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?

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

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

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

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.