Changing Dimensions of 3-D Figures — Unit test Answers

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°.

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?

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

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

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

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

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 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.

An oblique cylinder is shown.

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

Two spheres have volumes of 8π cm3 and 64π cm3. If the surface area of the smaller sphere is 16π cm2, what is the surface area of the larger sphere?

The volume of the sphere is π cubic units.

A cylindrical cardboard tube with a diameter of 8 centimeters and a height of 20 centimeters is used to package a gift.

The surface area of a rectangular prism is increased by a factor of 16.By what factor is the volume of the figure increased?

A solid right pyramid has a square base with an edge length of x cm and a height of y cm.

The two triangular prisms shown are similar.

The volume of a solid right pyramid with a square base is V units3 and the length of the base edge is y units.

A solid right pyramid has a square base. The base edge length is 2 cm longer than the height of the pyramid.