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Five cubes, each of edge 36 cm are joined end to end. Find the surface area of the resulting cuboid.

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29912 cm

2

28512 cm

2

28555 cm

2

38512 cm

2

answer is B.

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Detailed Solution

It is given a cube.
Question Image

From the figure,

b = 36

cm,

h = 36

cm
The length of the resulting cuboid,

l = 36

+ 36

+ 36

+ 36

+ 36

l = 180 c m

Total surface area of cuboid is given by,
TSA

= 2 (l b + b h + h l)

⇒ 2 (180 × 36 + 36 × 36 + 36 × 180)

⇒ 2 × 14256

⇒ 28512

2

Hence, the total surface area of the resulting cuboid is 28512 cm

2

.
Therefore, the correct option is 2.

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