The length of a cuboid is twice its breadth and its height is half of its breadth. If the height of the cuboid is 2 cm, then what is the edge of a cube having the same volume as that of the cuboid?

Volume of cuboid = lbh

l = length

b = breadth

h = height

Volume of cube side a = $$ a^3 $$

height of the cuboid = 2 cm

height is half of its breadth, h=$$ \frac{b}{2} $$

                                              2=$$ \frac{b}{2} $$

                                             b = 4 cm

length of a cuboid is twice its breadth , l = 2b

                                                               = $$ 2 \times 4 = 8 $$

Volume of cuboid = lbh = $$ 8 \times 4 \times 2 = 64 $$

Volume of cuboid = volume of cube

64 = $$ a^3 $$

a = 4