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Find the area of the cardboard required to make a closed box of length 25 cm, breadth 0.5 m and height $15 cm$ .

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3450

c m 2

4230

c m 2

4750

c m 2

2736

c m 2

answer is C.

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Detailed Solution

It is given a closed box of length 25 cm, breadth 0.5 m and height 15 cm.
1 meter is equal to 100 centimeters.
Since, length =25

cm

⇒ l = 25

cm
Since, breadth=0.5

m

Convert the breadth from meter to centimeter.

⇒ b = 0.5 × 100

⇒ b = 50

cm
Since, height =15

cm

⇒ h = 15

cm
Let the surface area of the cuboid be

S

.
Then the formula of the surface area of cuboid as

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

Substituting the values in formula,

⇒ S = 2 (25 × 50) + (50 × 15) + (15 × 25)

⇒ S = 2 1250 + 750 + 375

⇒ S = 2 × 2375

⇒ S = 4750 c m 2

Therefore, surface area is

4750 c m 2

.
Hence option (3) is correct.

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