Changing Dimensions of 3-D Figures — Unit test Answers

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.

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 cylinder has a radius of 2.8 inches and a height of 2.4 inches. Which cylinder is similar?

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.

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

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

An oblique cylinder is shown.

Two cones are similar. The surface area of the larger cone is 65π square inches. The surface area of the smaller cone is 41.6π square inches. The radius of the smaller cone is 6.4 inches. What is the radius of the larger cone?

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°.

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

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 large sphere has a diameter of 12 feet.

The two square pyramids are similar. The side length of the smaller pyramid is the side length of the larger pyramid.

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

Two triangular prisms are similar. The perimeter of each face of one prism is double the perimeter of the corresponding face of the other prism. How are the surface areas of the figures related?

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

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 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.

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