Geometric Modeling in Three Dimensions — Test Answers

Which represents the volume of the cylinder, in cubic units?

What is the unfilled volume inside the cylinder?

What is the approximate length of y ? Round to the nearest tenth of an inch.

What is the volume of the cone?

Which best describes the resulting three-dimensional shape?

What is the volume of the pyramid?

Which shape will result from taking a cross section of the cone as shown?

Which statement about the amount of paint found by Sheila is true?

Which expression represents the volume of the pyramid?

The leg of a decorative side table is in the shape of a hexagonal right prism. Each side of the hexagon is 1.25 ft. The height of the leg is 2.5 ft. What is the volume of material needed to create the leg? Round to the nearest whole number if necessary. Enter your answer in the box.

Janelle is painting a spherical model of a human cell for a science fair. She uses 615 point 4 4 square inches of paint to evenly cover the outside of the cell with one coat of paint. What is the diameter of the cell model? (Use 3 point 1 4 for the value of pi )

Which three-dimensional figure has double the number of edges as faces?

The surface area of a sphere is 64 pi square inches. Which equation can be used to solve for the radius of the sphere?

Which shape could be thought of as being created by stacking congruent polygons?

A marketing team is designing an eraser in the shape of a triangular pyramid. The base of the eraser is an equilateral triangle with side lengths of 1.75 in. The slant height of the pyramid is 3 in. The marketing team wants to write an advertisement on the eraser. How much surface area do they have to work with? Round to the nearest hundredth if necessary. Enter your answer in the box.

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?

An oblique prism with a square base of edge length x units has a volume of 1 half x cubed cubic units. Which expression represents the height of the prism?

What is the approximate surface area of the cone? Use 3 point 1 4 for pi and round to the nearest whole number.

What shape is represented by the cross section of the given cube?

What is the lateral area of the figure?