Topic 54 Intro to Solids

Front

What is a cross section?

Back

A cross section is the shape that is obtained when a solid is cut through by a plane. For example, a rectangle can be the cross section of a cube.

Front

What does Euler's Formula state?

Back

Euler's Formula states that for any convex polyhedron, the relationship between the number of faces (F), vertices (V), and edges (E) is given by F + V - E = 2.

Front

What is a polyhedron?

Back

A polyhedron is a three-dimensional solid that is made up of flat polygonal faces, straight edges, and vertices. Examples include cubes, pyramids, and octahedrons.

Front

How do you find the number of edges (E) using Euler's Formula?

Back

To find the number of edges (E), rearrange Euler's Formula: E = F + V - 2.

Front

What is the cross section of a cylinder?

Back

The cross section of a cylinder is a circle.

Front

What is the difference between a prism and a pyramid?

Back

A prism has two parallel bases that are congruent polygons, while a pyramid has one base and triangular faces that meet at a single point (the apex).

Front

What is a vertex in geometry?

Back

A vertex is a point where two or more edges meet in a solid shape. For example, a cube has 8 vertices.

Front

What is the formula for the volume of a rectangular prism?

Back

The volume (V) of a rectangular prism is calculated using the formula V = length × width × height.

Front

What is a face in a polyhedron?

Back

A face is any of the flat surfaces that make up the boundaries of a solid object. For example, a cube has 6 faces.

Front

What is the cross section of a triangular prism?

Back

The cross section of a triangular prism is a triangle.