Q. 104.3( 9 Votes )

Answer :

volume of each cube = 64 cm^{3}

Let a be the side length of each cube

∴ a^{3} = 64

a = 4 cm

The figure shows both the cubes joined together after joining we get a cuboid of length 2a and breadth a and height a

Length of cuboid formed = l = 2a

l = 8 cm

Breadth of cuboid formed = b = 4 cm

Height of cuboid formed = h = 4 cm

In the cuboid so formed there are 4 rectangular surfaces of length l = 8 and breadth b = 4 and 2 square surfaces of length 4

Total surface area of cuboid = 4 × l × b + 2a^{2}

= (4 × 8 × 4) + (2 × 4^{2})

= 128 + 32

= 160 cm^{2}

Total surface area of cuboid = 160 cm^{2}

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