How many soap cakes each measuring 7cm× 5cm× 2.5cm can be placed in a box of size 56cm× 40cm× 25cm ?

Explanation

Dimension of a soap cake = `7 cm xx 5 cm xx 2.5 cm`
Its volume= length x breadth x height = `(7 × 5 ×2.5) cm³ = 87.5 cm³`
Also, the dimension of the box that contains soap
cakes is `'56 cm xx 0.4 m × 0.25 m` i.e., `56 cm xx 40 cm xx 25 cm` [since, `1 m =100 cm`]'
Volume of the box = length x breadth x height = `(56 × 40 × 25) cm³ `
= `56000 cm³`
The number of soap cakes that can be placed
inside the box = volume of the box
volume of a soap cake
`56000 /87.5
= 640`