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The length and breadth of a rectangular sheet of a paper are 50 cm and 30 cm, respectively. A square of side 5 cm is cut and removed form the four corners of the sheet, and the rest of the pater is folded to form a cuboid (without the top face). Find the edge of the cube whose volume is one-fourth the volume of the cuboid so formed. |
Answer» Volume of the cuboid formed=`(50-2xx5)xx(30-2xx5)xx5` `=40xx20xx5` `=4000cm^(3)` Let the edge of the cube be x cm. `therefore" The volume of the cube"=x^(3)` Given, `4x^(3)=4000` `rArrx^(3)=1000` `rArrx=10cm` `therefore" The edge of the cube whose volume is equal to the cuboid formed = 10 cm"` |
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