Question

Find the length of the side of a cube which has a volume equal to one-third of a box which has dimensions as 24 cm x 18 cm x 12 cm​

Answer 1

Answer:

The length of the side of a cube is 12 cm

Step-by-step explanation:

Given : Volume of cube = 1/3 x volume of cuboidal box

Dimensions of cuboid, Length = 24 cm, Breadth = 18 cm and Height = 12 cm

Length of side of cube = S = ?

Solution : Volume of cuboid = Length x breadth x height

                                              =24 x 18 x 12

                                             = 5184 cm³

                Volume of cube = 1/3 Volume of cuboid

                                    S³    = 5184/3

                                    S      = ∛(5184/3)

                                            = ∛1728

                                            = 12 cm