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Learn the surface area of a cuboid such as total and curved surface area definition, formulas along with the solved examples in an easy and understandable manner at BYJU’S today!
The lateral surface area (LSA) of a cuboid is also known as the curved surface area of cuboid (CSA). This is the combined surface area of the four lateral (side) faces. In the figure given above, if we remove the top and bottom faces, we will get the area of the lateral surface area of the cuboid.
In the same way, the surface area of a cuboid is the sum of the areas of all its six rectangular faces. The surface area of the cuboidal box can be divided into two types namely lateral surface area and total surface area. The formulas for these can be derived from the figure given below.
Feb 18, 2024 · The surface area of a cuboid is the total area covered by all of its surfaces, and since the cuboid is the 3-D form of a rectangle, therefore, along with length and breadth, the height of the cuboid is also involved in finding the surface area. Surface area and volume are calculated in 3-D figures.
We’re stepping into the realm of cuboids where every side counts twice! To calculate the surface area of a cuboid, we use the following formula: 2lw + 2lh + 2wh. where l is the length, w is the width, and h is the height.
The surface area of a cuboid is the sum of the areas of these 6 faces. Hence the surface area of a a\times b\times c a× b×c cuboid is 2 (ab+bc+ca) 2(ab +bc+ca). Examples. What is the surface area of a 2 \times 3 \times 4 2× 3×4 cuboid? The surface area is 2 ( 2 \times 3 + 3 \times 4 + 4 \times 2) = 52 2(2× 3+3× 4+4×2) = 52. _\square . hi.
To find the surface area of a cuboid, you need to calculate the area of each rectangular face and then sum up all the areas to get the total surface area i.e. Area of the top and bottom face = lw+ lw = 2lw. Area of the front and back face = lh+ lh = 2lh. Area of the two side faces = wh+ wh = 2wh.
(ii) Lateral Surface Area or Curved Surface Area. Surface Area of Cuboid Formula. Before going into the concept of area, let us denote the dimensions of a cuboid, which are, Length, Width, and Height are represented by l, w, h, respectively. Total Surface Area of a Cuboid.
To calculate the surface area of the cuboid we need to first calculate the area of each face and the add up all the areas to get the total surface area. Total area of top and bottom surfaces is lw + lw = 2lw Total area of front and back surfaces is lh + lh = 2lh Total area of the two side surfaces is wh + wh = 2wh.
Formula for Surface Area of Cuboid. (a) Total Surface Area of Cuboid (T.S.A) T.S.A = 2 (lb + bh + hl) (b) Lateral Surface Area of Cuboid (L.S.A) L.S.A = 2 (l + b)h. Also Read : Formula for Volume of Cuboid – Derivation & Examples. Derivation :
