Corner : A corner of a shape is a point in the shape such that this point does not lie on the line segment between any two other points in the shape. Every triangle has 3 corners and every quadrilateral has 4 corners.

Count : To count means to find out the number of objects by adding one for every object.

Triangle : A triangle is a polygon with three corners and three sides. You can calculate the area of a triangle by multiplying half the length of the base by the height on that base. The sum of the interior angles in a triangle is always $180^{\circ}.$

Corner : A corner of a shape is a point in the shape such that this point does not lie on the line segment between any two other points in the shape. Every triangle has 3 corners and every quadrilateral has 4 corners.

Face : In mathematics a face of a 3-dimensional shape is any of the two-dimensional shapes that form the boundary of the three-dimensional shape. For example the 6 faces of a cube are 6 squares.

Number : A number $x$ is a mathematical symbol representing a quantity.

Square : A square is a quadrilateral with four right angles and four equal length sides. A square is a special case of a rectangle and a special case of a rhombus.

Triangle : A triangle is a polygon with three corners and three sides. You can calculate the area of a triangle by multiplying half the length of the base by the height on that base. The sum of the interior angles in a triangle is always $180^{\circ}.$

Cone : A cone is a three-dimensional shape that has a base circle and a point called the vertex such that all lines from the vertex to the circumference of the circle are part of the shape.

Cube : A cube is a three-dimensional shape with 6 faces that are all squares. A cube has 8 corners and 12 edges.

Cylinder : A cylinder is a three-dimensional shape that looks like a can. It has two faces that are circles and a wrapped around rectangle face that sits perpendicular in between these two circles.

Shape : A shape is a set of points in space.

Sphere : A sphere is a three-dimensional shape that has a boundary equal to a set of points with a constant distance to a point. The point is called the center of the sphere and the distance is called the radius $r$ of the sphere. The volume of a sphere with radius $r$ is $\frac{4}{3}\pi r^3$ and the surface area is $4\pi r^2.$

Three-dimensional shape : A three-dimensional shape is a shape that has a volume.