Question

The godown of a soap factory measures 12m x 8m x 4m. After production, the  soaps are kept in cartoons boxes measuring 60cm x 50 cm x 30 cm . The dimension of a soap is 6 cm X 2.5 x 1.5.... find the no. of soaps which can be kept in the carton box ​

Answer 1

Step-by-step explanation:

Given:

Length of carton box = 60cm

Breadth of carton box = 50cm

Height of carton box = 30cm

Length of soap = 6cm

Breadth of soap = 2.5cm

Height of soap = 1.5 cm

Solution:

First, we need to find the volume of soap

$volume \: of \: cuboid = l \times b \times h \\ = 6 \times 2.5 \times 1.5 \\ = {22.5cm}^{3}$

Second, we need to find the volume of carton box

$volume \: of \: cuboid = l \times b \times h \\ = 60 \times 50 \times 30 \\ = {90000cm}^{3}$

Number of soaps that can be kept in carton box,

$\frac{90000}{22.5} = 4000 \\ 4000 \: soaps$

Therefore, 4000 soaps can be kept in the carton box