Parikshit makes a cuboid of plasticine of sides 5 cm, 2 cm, 5 cm. How many such cuboids will he need to form a cube?
Dimension of cuboid given = 5 x 5 x 2 cm
Volume of 1 cuboid = 5 x 5 x 2 = 50 cm3
Let the volume of the cube to be formed from given cuboids = x cm3
Now we know that this value x will be a perfect cube
Number of cuboids x Volume of 1 cuboid = Volume of cube
Thus we can see that we have to multiply volume of 1 cuboid such that the resulting number is a perfect cube.
Thus, 50 x (Some number) = Perfect cube
50 × (x) = 1000
we know that the closest number is 20, such that 1000 is the perfect cube.
Therefore, Number of cuboids needed = 20