Solving for Angle Measures of Right Triangles — Unit test Answers

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.

The volume of the triangular block is 4 cubic inches.

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.

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

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

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?

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

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

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

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

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

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?

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?

An oblique cylinder is shown.

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.