question_answer

From each of the four corners of a rectangular sheet of diamensions\[\mathbf{20cm}\times \mathbf{16cm}\], a square of side 3 cm is cut off and a box is made. The volume of the box is

A)  828 \[c{{m}^{3}}\]                

B)  280 \[c{{m}^{3}}\]

C)  500 \[c{{m}^{3}}\]                  

D)  1000 \[c{{m}^{3}}\]

Correct Answer: B

Solution :

(b): Length of box \[=20-2\times 3=14\] cm Width of box\[=16-2\times 3=10\] cm Height of box = 3 cm. \[\therefore \]Volume of box \[=\left( 14\times 10\times 2 \right)\] cu.cm. = 280 cu.cm.