Question

find the number of cuboidal boxes measuring 2cm by 3 cm by 10 cm that can be placed inside in a carton whose measurements are 40cm by 26cm
by 24cm
​

Answer 1

find the number of cuboidal boxes measuring 2cm by 3 cm by 10 cm that can be placed inside in a carton whose measurements are 40cm by 26cm

by 24cm

​

Answer 2

Given :

• The dimension of cuboidal boxes = 2cm by 3 cm by 10cm.
• The dimension of carton in which these cuboidal boxes should be placed = 40cm by 26cm by 24cm.

To Find :

• Number of cuboidal boxes can be placed inside the carton.

Solution :

★ Volume of one cuboidal box = 2cm × 3cm × 10cm

$\longrightarrow$ 60 cm³

★ Volume of the carton = 40cm × 26cm × 24cm

$\longrightarrow$ 24960 cm³

$\underline{\boxed{\sf{No. \: of \: cuboidal \: boxes \: can \: be \: placed = \dfrac{Volume \: of \: Carton}{Volume \: of \: one \: cuboidal \: box}}}}</p><p>$

$\longrightarrow$ $\sf{\dfrac{24960 cm^{3}}{60 cm^{3}}}$

$\longrightarrow$ 416

Hence, 416 cuboidal boxes can be placed in the carton.