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Question

Two cubes, each of volume 64 cm3, are joined end to end. Find the total surface area of the resulting cuboid.

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Solution

Volume of the cube = a3

Therefore,
a3=64a3=43a=4 cm

Each side of the cube = 4 cm

Then,
Length of the cuboid 2×4 cm=8 cm
Breadth of the cuboid = 4 cm
Height of the cuboid = 4 cm

Total surface area of the cuboid =2lb+bh+lh
=28×4+4×4+8×4 cm2=2×80 cm2=160 cm2

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