Answer :

Given:

volume of given cube = 64cm^{3}

Side = a cm

Volume = (a)^{3}

64 = (a)^{3}

a = 4cm

two cubes are joined together.

Length of resultant cube = 4+4 = 8cm

Breadth = 4cm

Height = 4cm

(a) LSA of cuboid = 2(lh+hb)

= 2(8(4) + 4(4))

= 2(32+16)

= 2(48) = 96cm^{2}

⇒ LSA of cuboid = 66m^{2}

(b)TSA of cuboid = 2(lh+hb+lb)

= 2(8(4) + 4(4) + 8(4))

= 2(32+16+32)

⇒ TSA of cuboid = 2(80) = 160m^{2}

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