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Answer :
Let the length of each edge of the cube be a cm.
Then, Volume \( = \ 64 \)cm3
\( \Rightarrow \ a^3 \ = \ 64 \ \)
\( \Rightarrow \ a \ = \ 4 \) cm
When two cubes of equal volumes (i.e., equal edges) are joined end to end, we get a cuboid such that its,
l = Length \( = \ 4 \ + \ 4 \ = \ 8 \) cm
b = Breadth = 4 cm
and h = Height = 4 cm
\(\therefore \) Surface area of the cuboid = 2(lb + bh + hl)
\( = \ 2(8 \ × \ 4 \ + \ 4 \ × \ 4 \ + \ 4 \ × \ 8) \)
\(= 2(32 \ + \ 16 \ + \ 32) \)
\(= (2 \ × \ 80) \)
\(= \ 160 \) cm2