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Question

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

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Solution

Side of cube
=3Volume
=364=4
Length of new cuboid = 8 cm ( 4 + 4) , height = 4 cm, width = 4 cm
Surface area can be calculated as follows:
=2(lb+lh+bh)
=2(8×4+8×4+4×4)
2×80=160cm2
Alternate Method:
Surface area of cube =6×side2
When two cubes are joined end to end, then out of 12 surfaces; two surfaces are lost due to joint. Thus, we need to take surface area of 10 surfaces and hence surface area can be given as follows:
=10×side2=10×42=160cm2

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