Question

two cubes of volume 8cm are joined end to end then the surface area of the resulting cuboid is

Answer 1

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Volume of cube=l^3

8cm^3= l^3
$\sqrt[3]{8} = l$
2 cm=l
Length when cubes are joined together=
2cm+2cm=4cm
Hieght=2cm
Breadth=2cm
Surface area of cuboid=2(lb+bh+hl)
= 2(4×2+2×2+2×4)cm^2
=2×(8+4+8)cm^2
=2×20 cm^2
=40cm^2

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Answer 2

Volume=8 cm^3
Therefore,side=cube root of 8 cm^3=2 cm
Length,breadth and height of new cuboid are 4 cm,2 cm,2 cm respectively.
Therefore total surface area of new cuboid is 2(l*b+b*h+l*h)
                                                                       =2(4*2+2*2+4*2)
                                                                       =2(8+4+8)
                                                                       =2*20
                                                                       =40
Hence answer is 40 cm^2

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