What is the difference between curved surface area & total surface area?
Total Surface area is the second branch of the topic area. It is nothing but the measurement of extension of outer part of the solid completely.Whereas curved surface-area is the measurement of extension of only the curved part of the solid.
To understand more precisely, let us consider the three shapes namely cylinder, cone and sphere.
Cylinder
First,let us consider a right circular solid cylinder.If we want to find the curved surface-area, we will be finding the measurement of extension of only the curved part. More clearly, the measurement of extension which exclude the extension of the top portion and bottom portion (there are two circles at the top and base). Curved surface-area is nothing but the measurement of extension excluding the areas of the two circles where one is at the top and other one is at the bottom(base). But if we want to find the total surface-area, we have include the areas of two circles where one is at the bottom and other one is at the top.
Cone
Second, let us consider a right circular solid cone. Here we don't have anything at the top like we have a circle at the top portion of cylinder.We have a circle only at the base (bottom). So if we find curved surface-area, we will find only the curved part of the cone and we will never include the area of the circle at the bottom(base). But,if we want to find the total surface-area,along with the curved surface-area, we have to include the area of the circle at the bottom(base)
Sphere
Third, let us consider the shape sphere. In cylinder, we have two circles where one is the top and other one is at the bottom.So when we want to find the total surface area, along with curved surface-area, we include the areas of two circles. In the shape cone, we don't have anything at the top. We have only the vertex. So when we want to find the total surface area, along with the curved surface-area, we include the area of the circle which is at the base(bottom). In the shape sphere, we don't have circle or any other shape at both top and bottom. So here there is no difference between curved surface-area and total surface-area. Because even if we use the term curved surface-area, it covers the curved part of the solid that is which covers the entire part of the solid.
In sphere, total surface-area and curved surface-area are same.
But in hemisphere, curved surface-area and total surface-area are different.Because in hemisphere, we will have a circle at the top.(When it is in the position of bowl). Curved surface-area measures the extension of only the part which exclude the extension of the circle at the top.But, if we want to find the total surface-area, along with curved surface-area, we have to include the extension of the circle at the top.
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To understand more precisely, let us consider the three shapes namely cylinder, cone and sphere.?
Cylinder?
First,let us consider a right circular solid cylinder.If we want to find the curved surface-area, we will be finding the measurement of extension of only the curved part. More clearly, the measurement of extension which exclude the extension of the top portion and bottom portion (there are two circles at the top and base). Curved surface-area is nothing but the measurement of extension excluding the areas of the two circles where one is at the top and other one is at the bottom(base). But if we want to find the total surface-area, we have include the areas of two circles where one is at the bottom and other one is at the top.?
Cone?
Second, let us consider a right circular solid cone. Here we don't have anything at the top like we have a circle at the top portion of cylinder.We have a circle only at the base (bottom). So if we find curved surface-area, we will find only the curved part of the cone and we will never include the area of the circle at the bottom(base). But,if we want to find the total surface-area,along with the curved surface-area, we have to include the area of the circle at the bottom(base)?
Sphere?
Third, let us consider the shape sphere. In cylinder, we have two circles where one is the top and other one is at the bottom.So when we want to find the total surface area, along with curved surface-area, we include the areas of two circles. In the shape cone, we don't have anything at the top. We have only the vertex. So when we want to find the total surface area, along with the curved surface-area, we include the area of the circle which is at the base(bottom). In the shape sphere, we don't have circle or any other shape at both top and bottom. So here there is no difference between curved surface-area and total surface-area. Because even if we use the term curved surface-area, it covers the curved part of the solid that is which covers the entire part of the solid.?
In sphere, total surface-area and curved surface-area are same.?
But in hemisphere, curved surface-area and total surface-area are different.Because in hemisphere, we will have a circle at the top.(When it is in the position of bowl). Curved surface-area measures the extension of only the part which exclude the extension of the circle at the top.But, if we want to find the total surface-area, along with curved surface-area, we have to include the extension of the circle at the top.
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- Curved surface area or lateral surface area is the area of the curved surface on these.
- CSA does not include the bases of the solids .
- Total surface area is the sum of curved surface area and the flat surfaces like base of a cylinder, base of a cone or base circular disc of a hemisphere.
- TSA include bases of the solids .
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I will tell the difference with the help of a cylinder.
Consider the following image.
Here the area of part 2 is the C.S.A. of cylinder & area of part 1 + area of part 2 + area of part 3 = T.S.A. of the cylinder.
That is, if you include the area of the top and bottom, it is the T.S.A. .
Got it?
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TSA includes all 6 sides of cuboids, the triangle and the cirlce side of a cone and the both the cricle areas for cylinder which includes the rectangular sheet whihc is folded etc.
If u cant nderstand this look at the vast number of the answers given alright? :)
CHEEEEERS
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To understand more precisely, let us consider the three shapes namely cylinder, cone and sphere.??
Cylinder??
First,let us consider a right circular solid cylinder.If we want to find the curved surface-area, we will be finding the measurement of extension of only the curved part. More clearly, the measurement of extension which exclude the extension of the top portion and bottom portion (there are two circles at the top and base). Curved surface-area is nothing but the measurement of extension excluding the areas of the two circles where one is at the top and other one is at the bottom(base). But if we want to find the total surface-area, we have include the areas of two circles where one is at the bottom and other one is at the top.??
Cone??
Second, let us consider a right circular solid cone. Here we don't have anything at the top like we have a circle at the top portion of cylinder.We have a circle only at the base (bottom). So if we find curved surface-area, we will find only the curved part of the cone and we will never include the area of the circle at the bottom(base). But,if we want to find the total surface-area,along with the curved surface-area, we have to include the area of the circle at the bottom(base)??
Sphere??
Third, let us consider the shape sphere. In cylinder, we have two circles where one is the top and other one is at the bottom.So when we want to find the total surface area, along with curved surface-area, we include the areas of two circles. In the shape cone, we don't have anything at the top. We have only the vertex. So when we want to find the total surface area, along with the curved surface-area, we include the area of the circle which is at the base(bottom). In the shape sphere, we don't have circle or any other shape at both top and bottom. So here there is no difference between curved surface-area and total surface-area. Because even if we use the term curved surface-area, it covers the curved part of the solid that is which covers the entire part of the solid.??
In sphere, total surface-area and curved surface-area are same.??
But in hemisphere, curved surface-area and total surface-area are different.Because in hemisphere, we will have a circle at the top.(When it is in the position of bowl). Curved surface-area measures the extension of only the part which exclude the extension of the circle at the top.But, if we want to find the total surface-area, along with curved surface-area, we have to include the extension of the circle at the top.
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For example- in a cuboid, CSA means area of four walls while, TSA means area of four walls+ area of top + area of bottom.
hope it helps..
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Curved surface area means the total area of part except area of top and bottom while, Total surface area means area of total part including top and bottom.
For example- in a cuboid, CSA means area of four walls while, TSA means area of four walls+ area of top + area of bottom.
hope it helps..
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In curved surface area the area of base n top are not included whereas in total surface area all the surfaces are included... This question is relevant to solids like a cone, cylinder, hemisphere etc.Curved surface area or lateral surface area is the area of the curved surface on these.
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For examle we have a cylender. The area of the front curved part is the csa.
if its a closed cylender then by adding the area ofcircles we will get the total surface area.
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- Lateral surface area (L.S.A) means the area of a solid without it's top and bottom face areas. This L.S.A becomes Curved Surface Area (C.S.A) of a Cylinder as the area of a solid (like - sphere, cylinder, cone, hemisphere) is curved without it's top and bottom face areas
- Total surface area (T.S.A) means sum of the all areas of the faces of solid.
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The Total Surface Area, which can simply be called as Surface Area includes the areas of all the outermost regions of the 3 Dimensional Object including the areas of the top and the base regions.
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Curved surface area:
The curved surface area refers to the area of only the curved part of a 3D figure.
In general, the lateral surface area and curved surface areas are the same in meaning.
For example: In cuboid we use lateral surface area whereas in case of cylinder its curved surface area when you exclude its top and base surfaces.
Total surface area:
The total surface area refers to the area all the sides or area of curved part including its top and base of a geometric figure.
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Curved surface area or lateral surface area is the area of the curved surface on these.
Total surface area is the sum of curved surface area and the flat surfaces like base of a cylinder, base of a cone or base circular disc of a hemisphere.
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