A right rectangular box’s measurement are 1.6 m long, 90 cm wide, 60 cm in height. Soap cakes of measurement 6 cm × 5 cm × 40 mm are to be packed in the box, so that no space is left. How many cakes can be packed in the box?

Dimensions of the box:

Length = 1.6 m = 160 cm

Width  = 90 cm

Height = 60 cm

Dimensions of each soap cake:

Length = 6 cm

Width = 5 cm

Height = 40 mm = 4 cm

Volume of a rectangular box = Length × Width × Height

Number of cakes = $$\frac{\text{Volume of the box}}{\text{Volume of one soap cake}}$$​​

Number of cakes = $$\frac{160×90×60}{6×5×4}$$​ = 80 × 90 = 7,200

Thus, A total of 7,200 soap cakes can be packed in the box.