Shapes

Front

What is a cube?

Back

A cube is a three-dimensional shape with six equal square faces, twelve equal edges, and eight vertices.

Front

What are the properties of a cylinder?

Back

A cylinder is a three-dimensional shape with two parallel circular bases connected by a curved surface. It has a height, radius, and volume calculated as V = πr²h.

Front

What defines a cone?

Back

A cone is a three-dimensional shape with a circular base that tapers smoothly from the base to a single point called the apex.

Front

What is a sphere?

Back

A sphere is a perfectly round three-dimensional shape where every point on the surface is equidistant from the center.

Front

How do you calculate the volume of a cube?

Back

The volume of a cube is calculated using the formula V = a³, where 'a' is the length of one side.

Front

What is the formula for the volume of a cylinder?

Back

The volume of a cylinder is calculated using the formula V = πr²h, where 'r' is the radius of the base and 'h' is the height.

Front

What is the surface area of a cone?

Back

The surface area of a cone is calculated using the formula SA = πr(r + l), where 'r' is the radius of the base and 'l' is the slant height.

Front

How do you find the surface area of a sphere?

Back

The surface area of a sphere is calculated using the formula SA = 4πr², where 'r' is the radius.

Front

What is the difference between a cylinder and a cone?

Back

A cylinder has two parallel bases and a constant radius, while a cone has one base and tapers to a point.

Front

What is the relationship between the radius and diameter of a circle?

Back

The diameter of a circle is twice the length of the radius (D = 2r).