2D and 3D shapes

Geometric Shapes Explorer

Select Dimension 2D Shapes 3D Shapes Select Shape

Square

Properties

• 4 equal sides

• 4 right angles (90°)

• Parallel opposite sides

Area = side²

Features

• Diagonals bisect each other

• All sides are congruent

• Rotational symmetry order 4

Rectangle

Properties

• 2 pairs of equal sides

• 4 right angles (90°)

Area = length × width

Features

• Opposite sides parallel

• Diagonals are equal

Triangle

Properties

• 3 sides

• 3 angles (sum = 180°)

Area = ½ × base × height

Types

• Equilateral

• Isosceles

• Scalene

Circle

Properties

• Infinite points equidistant from center

• 360° rotation

Area = πr²

Features

• Circumference = 2πr

• Perfect symmetry

Pentagon

Properties

• 5 equal sides

• 5 equal angles (108°)

Area = ¼√(5(5+2√5))s²

Features

• 5 vertices

• 5-fold rotational symmetry

Hexagon

Properties

• 6 equal sides

• 6 equal angles (120°)

Area = (3√3/2)s²

Features

• 6 vertices

• 6-fold rotational symmetry

Cube

Properties

• 6 square faces

• 12 edges

• 8 vertices

Volume = s³

Features

• All faces congruent

• All angles 90°

Surface Area = 6s²

Sphere

Properties

• Infinite points equidistant from center

• Perfect symmetry

Volume = (4/3)πr³

Features

• No edges or vertices

• One surface

Surface Area = 4πr²

Cylinder

Properties

• 2 circular faces

• 1 curved surface

Volume = πr²h

Features

• 2 circular edges

Surface Area = 2πr² + 2πrh

Cone

Properties

• 1 circular base

• 1 curved surface

Volume = (1/3)πr²h

Features

• 1 vertex at apex

• 1 circular edge

Surface Area = πr² + πrs

Square Pyramid

Properties

• Square base

• 4 triangular faces

Volume = (1/3)a²h

Features

• 5 vertices

• 8 edges

Surface Area = a² + 2as