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derivation of surface area of cuboid

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What is the derivation of the formula of lateral surface area of cuboid?

The lateral surface area of a cuboid is derived by considering the four vertical sides of the cuboid. A cuboid has two pairs of opposite rectangular faces, with dimensions height (h) and width (w) for two sides, and height (h) and length (l) for the other two. Thus, the lateral surface area is calculated by adding the areas of these four sides: (2(h \times w) + 2(h \times l) = 2h(w + l)). Therefore, the formula for the lateral surface area is (2h(w + l)).


Formula of surface area of cuboid?

Let its dimensions be a, b and c:- Surface area of the cuboid: 2*(a*b)+2*(b*c)+2*(a*c) in square units


What is the formula for surface area and volume of cuboid?

Volume = Height × Width × Depth Surface area=2(lw+wh+hl)


How can you use the formula for the surface area of a box to find the surface area of a cube?

The surface area of a box, which is a cuboid, depends on its length, width and height. A cube is a special type of cuboid in which the length , width and height are all the same.


What is the formula for finding the area of a cuboid?

The total surface area of a cuboid with edges of length a, b and c units is 2*(ab + bc + ca) square units.


What is the surface area of a cuboid 2x4x6?

To calculate the surface area of a cuboid, use the formula (2(ab + ac + bc)), where (a), (b), and (c) are the dimensions. For a cuboid with dimensions 2, 4, and 6, the surface area is (2(2 \times 4 + 2 \times 6 + 4 \times 6)). This simplifies to (2(8 + 12 + 24) = 2 \times 44 = 88). Thus, the surface area of the cuboid is 88 square units.


How do you get lateral surface area of cube and cuboid?

Lateral surface area of a cuboid = 2 (Length + Breadth) × Height Lateral surface area of a cube = 4 × Side2


What is the area of a cuboid 4cm by 2cm?

A cuboid is a 3 dimensional object and 3 measures are required for the total surface area of a cuboid.


What is the derivation of the formula for volume and total surface area of a cylinder?

Volume = Пr2h Area = 2Пr2+2Пrh (where r=radius of base, h=height of cylinder)


Formula for surface area of a box?

Add all the area of six faces of the box in gerneral the surface area of a cube shape box is 6a2 and of cuboid is 2(lb x bh x hl)


What is the formula to find the volume of a cuboid?

Volume of a cuboid = cross-section area times its length


What is the derivation of the formula for surface area and volume of a cylinder?

Volume in cubic units = pi*r2*h Surface area in square units = (2*pi*r2)+(2*pi*r*h)