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Question

Three cubes each of volume 125 cm3 are joined end-to-end to form a cuboid. Find the total surface area of cuboid.

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Solution

Let the edge of each cube be a
As,Volume of each cube=125 cm3

a3=125

a=5 cm

So, the length of the cuboid,

l=3a=3×5=15 cm,

the breadth of the cuboid, b=5 cm

And the height of the cuboid, h=5 cm

Now,Total surface area of the cuboid

=2(lb+bh+hl)

=2(15×5+5×5+5×15)

=2(75+25+75)

=2×175

=350 cm2
So, the total surface area of the cuboid so formed is 350 cm2.


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