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Answer:
Sample response: Volume represents the amount of space an object takes up. Surface area represents the area of the outside surface of the object. If you need to find the amount of space something takes up, or the amount to fill something, find the volume. If you want to find how much is needed to cover something, find the surface area.
Step-by-step explanation:
If they are asking for volume, they are wanting to know how much can go inside the object....If they are asking for surface area.....the are wanting to know about the outside only.
The volume is equal to the product of area and height of shape.
The total area occupied by the surfaces of an object is called its surface area.
What is a volume?
"A volume is simply defined as the amount of space occupied by any three-dimensional solid. These solids can be a cube, a cuboid, a cone, a cylinder or a sphere."
What is surface area?
"The total area occupied by the surfaces of an object is called its surface area."
Different shapes have different volumes. In 3d geometry, we have studied the various shapes and solids such as cube, cuboid, cylinder, cone, etc., that are defined in three dimensions. For all these shapes, we are going to learn to find the volume.
The formula to calculate the volume of a solid in a three-dimensional space, is to find the product of dimensions. Basically, the volume is equal to the product of area and height of shape.
Volume = Base Area x Height
For shapes having flat surfaces such as cube and cuboid, it is easy to find the volume. But for curved shapes like cone, cylinder and sphere, we have to consider the dimensions of its curved surface as well, such as radius or diameter.
In geometry, different 3D shapes have different surface areas which can be easily calculated using the formulas that we will be learning in this article. The surface area is classified into two categories:
1. Lateral surface area or Curved surface area
2. Total surface area
There is a different surface area formula for every geometrical shape, but the idea behind all is to get the total area occupied by all the faces of the objects.
The total surface area considers all the faces of the 3D shape including the flat surfaces and the curved surfaces, while the lateral surface area is calculated to find the area occupied by the curved surface of the shape. It does not include the area of the bases. A sphere is one 3D figure which has only one round surface with no flat base.
Learn more about Volume and surface area here
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