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What is the formula for the surface area of a box?

Answer
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Hint: Here we have to find the formula for the surface area of a box. Firstly we will form the diagram of the box then we will level all the dimensions of it. As we know a box is either in the shape of a rectangle or a square so we will form a common formula to find the surface area by adding the area of each surface of the box and get our desired answer.

Complete step by step solution:
We have to find the formula for the surface area of a box:
Firstly we will form the diagram a box as follows:
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Here we have taken
Height h=BE
Length l=AB
Width w=BC
Now as we can see that the box has six faces all are in rectangle shape.
The top and bottom face have sides as l and w(1)
The left and right faces have sides as h and w(2)
The front and back face have sides as l and h(3)
Next we know the rectangle area is calculated as follows:
Area =x×y
Where, x,y are the two sides
For statement (1) we have area of two faces as:
Area =2(l×w)(4)
For statement (2) we have area of two faces as:
Area =2(h×w)(5)
For statement (3) we have area of two faces as:
Area =2(l×h)….(6)
So we will get the surface area of box by adding equation (4), (5) and (6) as follows:
Surface Area of a box =2(l×w)+2(h×w)+2(l×h)
Surface Area of a box =2lw+2hw+2lh
Hence formula for surface area of a box is 2lw+2hw+2lh .

Note:
Box is in the shape of a cuboid or a cube. That is the reason we have taken six sides of it and calculated the area of each side separately. Cuboid is a three-dimensional figure which is made up of six rectangular planes. We can see the common example of cuboid in a brick, pencil box etc. The opposite sides of a cuboid have the same dimension and are always parallel to each other.
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