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Q.

From the four corners of a rectangular sheet of dimensions 25 cm x 20 cm, square of side 2 cm is cut off from four corners and a box is made. The volume of the box is

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a

$672 {cm}^{3}$

b

$1000 {cm}^{3}$

c

$828 {cm}^{3}$

d

$500 {cm}^{3}$

answer is B.

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Detailed Solution

Clearly, 1 = (25-4) cm = 21 cm

$\begin{array}{l} b = (20 - 4) cm = 16 cm \\ h = 2 cm \end{array}$

$∴$ Volume of the box $= (21 \times 16 \times 2) {cm}^{3} = 672 {cm}^{3}$ .

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