Question

A rectangular container that has a length of 30 cm a width of 20 cm and her height of 24 cm is filled with water to a depth of 15 cm when an additional 6.5 L of water are poured into the container some water overflows. How many liters of water overflow the container?

Answer 1

1.1 L

Further explanation

Given:

A rectangular container that has:

• a length of 30 cm,
• a width of 20 cm, and
• a height of 24 cm

It is filled with water to a depth of 15 cm.

When an additional 6.5 L of water are poured into the container, some water overflows.

Question:

How many liters of water overflow the container?

The Process:

Step-1: calculate the volume of rectangular container

$\boxed{ \ V = length \times width \times depth \ }$

$\boxed{ \ V = 30 \times 20 \times 24 \ }$

$\boxed{ \ V = 14,400 \ cm^3 \ }$

The volume of rectangular container is 14,400 cm³, then converted to 14,4 L.

Step-2: calculate the volume of water filled in the container to a depth of 15 cm

$\boxed{ \ V = length \times width \times depth \ }$

$\boxed{ \ V = 30 \times 20 \times 15 \ }$

$\boxed{ \ V = 9,000 \ cm^3 \ }$

The volume of water filled is 9,000³ cm, then converted to 9 L.

Step-3: calculate the volume of water overflow when an additional 6.5 L of water is poured into a container.

The volume of water overflow equals the initial water volume is added to the additional water volume then subtracted by the container volume.

The volume of water overflow = $\boxed{ \ 9 \ L + 6.5 \ L - 14.4 L \ }$

Thus, the volume of water overflow of the container is 1.1 L.

Notes:

$\boxed{ \ 1 \ cm^3 = 1 \ mL \ }$

$\boxed{ \ 1,000 \ cm^3 = 1 \ L \ }$

$\boxed{ \ 1 \ dm^3 = 1 \ L \ }$

Learn more

1. What is the volume of this rectangular prism? brainly.com/question/11613210
2. Find out the area of a trapezoid  brainly.com/question/2280236
3. Find out the area of a cube  brainly.com/question/12613605#

Keywords: a rectangular container, has a length of 30 cm, a width of 20 cm, height of 24 cm, is filled with water, to a depth of 15 cm, an additional 6.5 L of water, are poured into the container, some water overflows, the formula, volume

Answer 2

30 x 20 x 24 = 14400 cubic cm

30 x 20 x 15 = 9000 cubic cm

14400-9000 = 5400 cubic cm left

 1 cubic cm = 0.001 liters

5400x 0.001 = 5.4 liters

6.5-5.4 = 1.1 liters overflow