If six cubes, each of 10 cm edge, are joined end to end, then find the surface area of the resulting solid (in $c m 2$ ).

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Detailed Solution

Six cubes, each with 10 cm edges, are joined end to end. With the help of the picture, we will find out the changes in the dimensions of the cubes before and after the connection.

So we can see that as we add six cubes end to end, the single dimension of length changes its value. The width and height dimension is intact.
After connecting the six cubes, the overall shape changed to a cuboid.
The length of a cuboid is equal to the sum of the lengths of six cubes.
The length of one cube is 10 cm. The length of the cuboid will therefore be

The width and height of a cuboid are equal to the width and height of a cube.
The width and height of one cube is 10 cm. So the width and height of the cuboid will be 10 cm.
So we got a cuboid whose dimensions are length (l)= 60, width (b)= 10, height (h)= 10 cm. We need to find the area.
The formula for surface area is

We insert the cuboid values to find the solution as,