Volume of Cylinders, Cones, and Spheres — Unit test Answers
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 5.2 cm2 and a height of h cm.
Every possible cross section of a three-dimensional figure is a circle. What is the figure?
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 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 right isosceles triangle shown is rotated about line k with the base forming perpendicular to k. The perimeter of the triangle is 58 units.
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 right pyramid has a regular hexagonal base with an area of 7.4 units2. The pyramid has a height of 6 units.
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.
The volume of the triangular block is 4 cubic inches.
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.
Which three-dimensional figure has double the number of edges as faces?
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°.
Which shape could be thought of as being created by stacking congruent polygons?
An 8 inch by 6 inch rectangle is the base of the rectangular prism below.
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?
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