question_answer

From the four corners of a rectangular sheet dimensions \[25\times 20\,cm,\] square of side \[2\,cm\]is cut off from four comers and a box is made. The volume of the box is [SSC CGL Tier II, 2017]

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

B) \[672\text{ }c{{m}^{3}}\]

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

D) \[1000\,c{{m}^{3}}\]

Correct Answer: B

Solution :

[b] Square of side 2 cm is cut from rectangular sheet as shown in the figure. Then, length of the box \[=25-2\times =25-4=21\] and breadth of the box\[=20-2\times 2=20-4=16\] and height of the box will be 2 cm. \[\therefore \]Volume of the box = Length \[\times \]Breadth \[\times \]Height \[=21\times 16\times 2=672\,c{{m}^{3}}\]