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

The circular base of a cone has a radius of 5 centimeters. The height of the cone is 12 centimeters, and the slant height is 13 centimeters.

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

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.

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

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?

An 8 inch by 6 inch rectangle is the base of the rectangular prism below.

An oblique cylinder is shown.

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 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 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?

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

A triangular prism has an equilateral base with side length x inches. The height of the prism is four times as long as the side length.What is the lateral area 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.

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.

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?

A package is in the shape of a triangular prism. The bases are right triangles with perpendicular legs measuring 9 centimeters and 12 centimeters. The distance between the bases is 10 centimeters.What is the surface area of the triangular prism?

The volume of the triangular block is 4 cubic inches.

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