Question

Two cubes each of volume 27^3cm are joined end to end to form a solid. Find the surface area of resulting solid.


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Answer 1

Answer:

Volume of cube =27cm^3. (given)

Let a cm be the length of each side of the cube.

We know, volume of cube =(side)^3

cubic units

=> 27=a^3

or a=3 cm

When two cubes are joined cuboid is formed.

Find dimensions cuboid.

Length = l = 2a=2×3 cm=6 cm.

Breadth =b =a=3 cm

height =h =a=3 cm

Now,

Surface area of cuboid =2(lb+bh+lh)

=2(6×3+3×3+6×3)

=2(18+9+18)

=90

Surface area of resulting cuboid is 90 cm^2.

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Answer 2

Answer:

Step-by-step explanation:

Image result for Two cubes each of volume 27^3 cm are joined end to end to form a solid. Find the surface area of resulting solid.

It is given that the volume of each cube is 27 cm3. When two cubes are joined end-to-end, the solid obtained is a cuboid whose length, breadth and height are 6 cm, 3 cm and 3 cm respectively. Thus, the surface area of the resulting cuboid is 90 cm2.