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The area of the cardboard needed to make a box of size $25 cm \times 15 cm \times 8 cm$ will be

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390 c m^{2}

1390 c m^{2}

2780 c m^{2}

1000 c m^{2}

answer is B.

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Detailed Solution

Given that, the dimensions of a box is

25 cm \times 15 cm \times 8 cm .

The formula for the surface area of the cuboid having length, breadth and height as

l, b

and

h

respectively is given as

2 (lb + bh + hl)

.
So, the surface area of the brick will be,

\Rightarrow 2 (25 \times 15 + 15 \times 8 + 8 \times 25)

\Rightarrow 2 (375 + 120 + 200)

\Rightarrow 1390 c m^{2}

Therefore, the area of cardboard needed

1390 c m^{2} .

Hence option (2) is correct.

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