Question

What is the total number of match boxes that can be stored in a box of dimensions 30cm×9cm×21cm? ​

Answer 1

Step-by-step explanation:

480 Matchboxes and am sorry

Answer 2

Concept:

Any three-dimensional solid's volume is simply defined as the quantity of space it occupies. Cubic units are used to measure the volume of a solid.

Given:

The dimensions of the box are $30cm*9cm*21cm.$

Find:

What is the total number of matchboxes that can be stored in the box?

Solution:

Let the dimensions of the matchbox be:

$length=l$ cm

$breadth=b$ cm

$height=h$ cm

The volume of the matchbox $=l*b*h$ $cm^{3}$

Dimensions of the bigger box:

$length=30cm\\breadth=9cm\\height=21cm$

The volume of the bigger box $=30*9*21=5670 cm^{3}$

The total number of matchboxes that can be stored in the box = Volume of the bigger box ÷ Volume of 1 matchbox

The total number of matchboxes that can be stored in the box $=\frac{5670}{l*b*h}$ $cm^{3}$