what is the lateral surface area in maths?
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The lateral surface of an object is all of the sides of the object, excluding its base and top (when they exist). The lateral surface area is the area of the lateral surface. ... This lateral surface area can be calculated by multiplying the perimeter of the base by the height of the prism.
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Lateral surface area of a Cuboid: The sum of surface areas of all sides except the top and bottom face of solid is defined as the lateral surface area of a solid. Consider a Cuboid of length, breadth and height to be l, b and h respectively.
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Finding the areas of each of the rectangles and squares of the net of a rectangular prism and adding up those areas gives the surface area or total surface area of the prism. For example, if the length of one side of the cube 4 units then the area of one its face is 4 × 4 = 16 square units.
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Help improve it. The surface area of a cone is equal to the curved surface area plus the area of the base: π r 2 + π L r , \pi r^2 + \pi L r, πr2+πLr, where r denotes the radius of the base of the cone, and L denotes the slant height of the cone. The curved surface area is also called the lateral area.
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The area is the measurement of the size of flat-surface in a plane (two-dimensional) whereas surface area is the measurement of the exposed surface of a solid shape (three-dimensional). This is the key difference between area and surface area.
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Again, the formula for volume is 1/2 base of the triangle times the height of the prism, which is the distance between the two bases. ... To recap, to find your surface area we take the lateral area by taking the perimeter of the triangle 10+3+8 times the height of the prism which is 6 and add that to the area of 2 bases.
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Since these are all the same, you can multiply one of them by six, so the surface area of a cube is 6 times one of the sides squared. In words, the surface area of a rectangular prism is the area of the six rectangles that cover it.
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The lateral surface of an object is all of the sides of the object, excluding its base and top (when they exist). ... For a right circular cylinder of radius r and height h, the lateral area is the area of the side surface of the cylinder: A = 2πrh.
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The lateral surface area of an object is equal to the surface area minus the area of the bases of the object. The formula for the lateral surface area of a cylinder is 2πrh, where r = radius and h = height.
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The total surface area of a solid is the sum of the areas of all of the faces or surfaces that enclose the solid. The faces include the tops and bottoms (bases) and the remaining surfaces. The lateral surface area of a solid is the surface area of the solid without the bases.
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['Cube: Surface area = 6 × a2', 'Right circular cylinder: Surface area = 2 × pi × r2 + 2 × pi × r × h. ... ', 'Rectangular prism: Surface area = 2 × l × w + 2 × l × h + 2 × w × h. ... ', 'Sphere: Surface area = 4 × pi × r2 ... ', 'Right circular cone: Surface area = pi × r2 + pi × r ×( √(h2 + r2)) ... ', 'Right square pyramid: Surface area = s2 + 2 × s × l.']
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The formula for the lateral surface area of a sphere is the same as the formula for the surface area of a sphere, since it has no bases. Thus, the lateral surface area of a sphere is 4πr2, where r = radius. The formula for the lateral surface area of a cone is πrs, where r = radius and s = slant height.
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The surface area of a cuboid can be calculated by adding together the areas of the 6 faces. The opposite faces of a cuboid are the same sized rectangles, so find the total area of the three different faces, then double to find the total surface area.
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The surface area is the number of square units that fit into the square. As shown in the picture, the surface area of this square is 16 total square units.
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If you have a hemispherical object then it has a base which is a circle of radius r. The area of a circle of radius r is π r2 and thus if the hemisphere is meant to include the base then the surface area is 2 π r2 + π r2 = 3 π r2.
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Lateral surface area refers to the area of a solid excluding the base. Total surface area refers to the net area which includes the base. and TSA = 2pi*r*h + 2pi*r*r. ... In a cylinder, when will we take the lateral surface area or the total surface area?
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The lateral surface of an object is all of the sides of the object, excluding its base and top (when they exist). The lateral surface area is the area of the lateral surface. This is to be distinguished from the total surface area, which is the lateral surface area together with the areas of the base and top.