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Q.

Choose the correct option: 

The dimensions of a box are 32 cm × 28 cm × 24 cm. It is to be painted from the outside. The area to be painted is ____ cm2.

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a

5672

b

3672

c

2672

d

4672

answer is B.

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Detailed Solution

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Since the box is to be painted from the outside, the area to be painted is the total surface area of the box.

The length (l), breadth (b), and height (h) of the box are given as 32 cm, 28 cm, and 24 cm respectively.

Total surface area of the cuboid = 2(lb+ bh + hl)

Total surface area of the box = 2 (32 × 28 + 28 × 24 + 24 × 32) 

= 2(896 + 672 + 768) 

= 2 × 2336 cm2

= 4672 cm2

Hence, the area to be painted is 4672 cm2.

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