## How do you find the volume of a geometric figure?

Whereas the basic formula for the area of a rectangular shape is length × width, the basic formula for volume is length × width × height.

## How do you find the area of a geometric figure?

How to calculate area?

- Square area formula: A = a²
- Rectangle area formula: A = a * b.
- Triangle area formulas: A = b * h / 2 or.
- Circle area formula: A = πr²
- Circle sector area formula: A = r² * angle / 2.
- Ellipse area formula: A = a * b * π
- Trapezoid area formula: A = (a + b) * h / 2.
- Parallelogram area formulas:

**What is the difference between the area and the volume of geometric figures?**

Plane figures have area while solid shapes have volume. Area describes the amount of space enclosed, whereas volume determines the capacity of solids. The measurement of area is done in square units, which can be centimetre, yards and so on. On the contrary, the volume is measured in cubic units.

**What is the formula of area and volume?**

Surface Area and Volume Formulas

Name | Perimeter | Volume |
---|---|---|

Triangle | a+b+c | —- |

Cuboid | 4(l+b+h) | l * b * h |

Cube | 6a | a3 |

Cylinder | —- | π r2 h |

### What is the area of all shapes?

Area Formula for Different Shapes

Shape | Area | Terms |
---|---|---|

Square | a2 | a = length of side |

Rectangle | l × w | l = length w = width |

Parallelogram | b × h | b = base h = vertical height |

Trapezium | ½(a + b) × h | a & b are length of parallel sides h = height |

### What is the formula of geometric figure?

Formula for geometrical figures

Shape | Formula | |
---|---|---|

▱ | Parallelogram | 2 × (side1 + side2) |

△ | Triangle | side1 + side2 + side3 |

⬠ | Regular n-polygon | n × side |

⏢ | Trapezoid | height × (base1 + base2) / 2 |

**What are the four differences between area and volume?**

An Area is a two-dimensional object whereas Volume is a three-dimensional object. The Area is a plain figure while Volume is a solid figure. The Area covers the outer space and Volume covers the inner capacity. The Area is measured in square units and Volume is measured in cubic units.

**What are the similarities and differences between area and volume?**

Area vs Volume

Area | Volume |
---|---|

Area is always defined for two dimensions objects or plane figures. | Volume is always defined for three-dimensional objects or solid figures. |

It is measured in 2 dimensions, includes mainly length and width. | It is measured in 3 dimensions, includes the third dimension, which is height. |

#### What is the equation of volume?

How to calculate volume? — Volume formulas

Name | Formula |
---|---|

Right Rectangular Prism (cuboid, box) | V = lwh |

Prism or Cylinder | V = Ah |

Pyramid or Cone | V = Ah/3 |

Sphere | V = 4πr³/3 |