Question

Ravi made a cuboid of plasticine of dimensions 12cm, 8cm and 3cm. How many minimum number of such cuboids will be needed to form a cube’?

Answer 1

The volume of a plasticine cuboid 

= l × b × h 

= 12 × 8 × 3 

= 288 cm³  

 If the minimum no. of such cuboids will be needed to form a cube then its volume be less than 288 i.e., 216 cm³

∴ s³ = 216 

s = \(\sqrt[3]{216}\)  = \(\sqrt[3]{6\,\times\,6\,\times6}\) = \(\sqrt[3]{6^3}\) = 6 

∴ The side of the cube 6 cm