Two Cube question

Two cubes each of volume 27 cm^3 are joined together end to end.Find the surface area of the resulting cuboid.

Expert Solution

Every side of the cube is same.

Let 'a' is the each side of the cube.

Then a^3 = 27 cm^3

a^3 =3^3 cm^3

a =3 cm that means

length=breadth=height=3cm

When two cube of eqaul volumes are joined end to end then a cuboid is formed

Then length of resultant cuboid is a+a=3+3=6 cm

Breadth =3 cm

Height =3 cm

Then surface area of resultant cuboid.

=2(lb+bh+hl)

=2(6×3+3×3+3×6)

2(18+09+18)

2(45)

=90 cm^2

Hence the surface area of resultant cuboid is 90cm^2

Shams answered 2 years ago

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