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Question -

Two cubes, each of volume 512 cm3 are joined end to end. Find the surface area of the resulting cuboid.



Answer -

Volume of each volume = 512 cm3
∴ Side (edge) =
== 8 cm
Now by joining two cubes, then Length of so formed cuboid (l)
= 8 + 8 = 16 cm
Breadth (b) = 8 cm
and height (h) = 8 cm
∴ Surface area = 2(lb + bh + hl)
= 2[16 x 8 + 8 x 8 + 8 x 16] cm2
= 2[128 + 64 + 128] cm2
= 2 x 320 = 640 cm2

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