Unit Test Answers
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.
A rectangular prism has dimensions x units, 2x units, and x + 8 units.Which expression represents the surface area of the prism?
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 base of a solid oblique pyramid is an equilateral triangle with a base edge length of 14 units.
A solid right pyramid has a square base. The base edge length is 2 cm longer than the height of the pyramid.
The area of the circular base of a cylinder is 36π square units. The height of the cylinder is 2 units.What is the lateral area of the cylinder? Express the answer in terms of π.
The height of a cylinder is twice the radius of its base.
The base of a cylinder has a radius of 9 centimeters. The cylinder is 12 centimeters tall.
A right square prism has a volume of 360 cubic units.Which could be the dimensions, in units, of the prism? Select three options.3 by 3 by 404 by 4 by 205 by 5 by 142.5 by 12 by 123.6 by 10 by 10
The volume of a solid right pyramid with a square base is V units3 and the length of the base edge is y units.
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