A cuboid of size $$50 cm \times 40 cm \times 30 cm$$ is cut into 8 identical parts by 3 cuts. What is the total surface area (in $$cm^2$$) of all the 8 parts?
The total surface area of the cuboid = 2(lb+bh+lh)
=$$2\left(50\times\ 40+40\times\ 30+30\times\ 50\right)=9400$$
Now there are three cuts along length breadth , breadth height and height length and each cut will produce an extra length ,breadth and height
So after cutting into 8 equal parts , the surface area will get doubled
And therefore we get surface area as 2(9400) = 18,800
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