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The amount of space surrounding a three-dimensional area is known as surface area. Here are the surface area and volume measurements for class 9 notes. This article discusses and fully explains the surface area formulas for cuboid. The surface area of a cuboid can be broadly divided into two categories: lateral surface area (LSA), and total surface area (TSA).
For any of the three-dimensional geometrical shapes, the surface areas and other geometrical entitites can be easily calculated. Keep reading to know more.
Have a look at this section of the page to know the definition and formulas with regard to the Surface Area of a Cuboid:
A three-dimensional shape is a cuboid. Six rectangular faces that are arranged at right angles make up the cuboid. The sum of the surfaces of a cuboid’s six rectangular faces determines its total surface area.
Consider a cuboid whose length is “l” cm, breadth is b cm and height h cm.
Area of face ABCD = Area of Face EFGH = (l × b) cm2
Area of face AEHD = Area of face BFGC = (b × h) cm2
Area of face ABFE = Area of face DHGC = (l × h) cm2
Total surface area (TSA) of Cuboid = Sum of the areas of all its six faces
= 2(l × b) + 2(b × h) + 2(l × h)= 2(lb + bh +lh)
Lateral surface area (LSA) is defined as the area of all the sides excluding the top and bottom faces.
Thus, from the figure given above, the lateral surface area of the cuboid = Area of face AEHD + Area of face BFGC + Area of face ABFE + Area of face DHGC = 2(b × h) + 2(l × h)
LSA (cuboid) = 2h(l + b)
Cuboid shapes are frequently utilised for things like boxes, cabinets, rooms, buildings, containers, cabinets, books, a solid computer chassis, printing equipment, touchscreen phones, washing machines, and dryers, among other things. One of the solids that can tessellate three-dimensional space is the cuboid. The shape may hold numerous smaller cuboids, such as sugar cubes in a box, boxes in a cupboard, cupboards in a room, and rooms in a building, making it fairly adaptable.
For instance, a cuboid with sides 44, 117, and 240 is an Euler brick because it has integer edges and face diagonals. An Euler brick with a space diagonal that is also an integer is a perfect cuboid. Whether a perfect cuboid genuinely exists is unknown at this time.
Following are some of the problem sums on the surface area of a cuboid that students may solve:
Hope this comprehensive article on “Surface Area of Cuboid” helped you for your Class 9 school board exam preparation.
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