Question

A rectangular container is 25 cm long and 20 cm wide. If it holds 1 liter of water when full, what is its height?

Answer 1

Answer: $2\ cm$

Step-by-step explanation:

The volume of a rectangular prism can be calculated with the following formula:

$V=lwh$

Where "l" is the lenght, "w" is the width and "h" is the height.

You know that the lenght of this rectangular container is 25 centimeters and its width is 20 centimeters. Then:

$l=25\ cm\\\\w=20\ cm$

If it holds 1 liter of water when full, then its volume is:

$V=1\ L$

Since:

$1\ L=1,000\ cm^3$

The volume of the container in cubic centimeters is:

$V=1,000\ cm^3$

Now, in order to find the height of the container, you need to solve for "h" from the formula:

$h=\frac{V}{lw}$

Substituting values, you get that its height is:

$h=\frac{1,000\ cm^3}{(25\ cm)(20\ cm)}\\\\h=2\ cm$

Answer 2

Answer:

2 cm

Step-by-step explanation:

Note that 1 litre = 1000 cm³

The volume (V) of a cuboid is calculated as

V = lbh ( l is length, b is width and h is height ), thus

V = 25 × 20 × h = 1000, that is

500h = 1000 ( divide both sides by 500 )

h = 2