5 cubes of side 8cm are melted to form a cuboid of square base with height 10 cm .find the side of square base of the cuboid so formed
chapter surface area and volume of solids
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Since the cuboid has a square base therefore its length and breadth are same. Let the length of cuboid=a
the breadth of cuboid=a
the height=10 cm
side of cube= 8 cm
volume of 1 cube= (8x8x8)cm3=512cm3
volume of 5 cubes= volume of cuboid
=>5x512=axax10
=>(5x512)/10= a2
=>256=a2
=>a=16 cm
Ans: The square base of the cuboid is 16cm by 16cm
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