Volume and surface area are two important concepts in geometry that are used to measure the size of 3D objects. There are different shapes and sizes such as sphere, cube, cuboid, cone, cylinder, etc. Each shape has its own surface area as well as volume.
Volume is the amount of space, measured in cubic units, that an object or substance occupies
Surface area, on the other hand, is the total area of the planes that form a surface/shape. It is measured in square units and represents the area occupied by a three-dimensional object by its outer surface.
Let’s look at some daily life examples:
Packing: When packing items into a box, you need to know the volume of the box to make sure everything will fit.
Painting: When painting a room, you need to know the surface area of the walls to determine how much paint you will need.
Cooking: Recipes often call for a specific volume of ingredients, so knowing how to measure volume is important when cooking.
Swimming pools: To fill a swimming pool, you need to know its volume to determine how much water is needed.
Shipping: Shipping companies use the volume and surface area of packages to determine shipping costs.
Building: When building a house or other structure, knowing the surface area of the walls, roof, and floor is important for determining how much material is needed.
Gardening: When planting a garden, you need to know the volume of the soil in the garden bed to determine how much soil is needed.
Furniture: When buying furniture, knowing the volume of the room and the furniture can help you determine if it will fit in the space.
Heating and cooling: The surface area of a building affects how much heat is lost or gained, which affects heating and cooling costs.
Storage: When storing items in a storage unit, knowing the volume of the unit can help you determine how much space you have available.
