Question

A carton 55 cm long, 30 cm broad and 20 cm high is filled with matchboxes of dimensions 6cm*4cm*2CM.find how many matchboxes are there in the carton?​

Answer 1

Answer:

44,000

Step-by-step explanation:

Number of matchboxes = Volume of carton

Volume of the

matchboxes with given dimensions

= 55*30*20/6*4*2

= 44,000

Answer 2

Given:

• A carton 55 cm long, 30 cm broad and 20 cm high is filled with matchboxes of dimensions 6cm ,4cm,2cm

To Find:

• how many matchboxes are there in the carton?

Solution:

➷First let's find the volume of the cartoon

$\purple{ \underline{\boxed{ \blue { \rm{volume \: of \: a \: cuboid = l \times b \times h}}}}}$

let's start:

$\sf \purple{ \longmapsto volume = 55 \times 30 \times 20} \\ \\ \sf \purple{ \longmapsto volume = 33000 {cm}^{3} } \: \: \: \: \: \:$

➷now let's find the volume of match box :

$\sf \purple{ \longmapsto volume = 6 \times 4 \times 2cm} \\ \\ \sf \purple{ \longmapsto volume = 48 {cm}^{3} } \: \: \: \: \: \: \: \: \: \: \:$

__________________________________________

$: \longrightarrow \sf \: no.of \: boxes \: can \: fit = {\cancel{\frac{33000}{48}}} \\ \\ : \longrightarrow \sf \: no.of \: boxes \: can \: fit =678.5$

hope this helps:)