Question

A box is 1.8m long,90cm wide,60cm height. Soap cakes of measurements 6cm×4.5cm×40mm are to be packed in the box,so that no space is left.Find how many cakes can be packed in each box?

Answer 1

for box 

Length = 1.8 m = 180 cm
breadth = 90 cm 
height = 60 cm

for cakes

length = 6 cm
breadth = 4.5 cm
height = 40 mm = 4 cm

now divide box volume by cake volume 

= 180 x 90 x 60 / 6 x 4.5 x 4
= 6 x 10 x 15 x 10
= 9000

so, 9000 cakes can be packed in each box.

Answer 2

Volume of the box = 180*90*60 = 972000 cm^3
Volume of one soap cake = 6*4.5*4 = 108cm^3

Required number of soap cakes = 972000/108
= 9000

Therefore 9,000 soap cakes can be packed in each box