A tank had 2125 litres of water. The water was poured into a container which has a square base of side 250cm. What was the height of the water in the container?

To find the height of the water in the container, we can use the formula for the volume of a rectangular prism (which applies here because the container has a square base):

\[
\text{Volume} = \text{Base Area} \times \text{Height}
\]

Given:
- Volume of water, \( V = 2125 \, \text{litres} \)
- Side length of the square base, \( s = 250 \, \text{cm} \)

### Step 1: Convert the volume of water from liters to cubic centimeters.
Since \( 1 \, \text{litre} = 1000 \, \text{cm}^3 \):

\[
V = 2125 \, \text{litres} = 2125 \times 1000 \, \text{cm}^3 = 2125000 \, \text{cm}^3
\]

### Step 2: Calculate the area of the square base.
The area \( A \) of a square is given by:

\[
A = s^2 = 250 \times 250 = 62500 \, \text{cm}^2
\]

### Step 3: Calculate the height of the water in the container.
Using the volume formula \( V = A \times h \), we can solve for the height \( h \):

\[
h = \frac{V}{A} = \frac{2125000 \, \text{cm}^3}{62500 \, \text{cm}^2} = 34 \, \text{cm}
\]

So, the height of the water in the container is **34 cm**.

Would you like more details or have any questions about the solution? Here are some related questions you might find interesting:

1. What would the height be if the base side was doubled?
2. How would you calculate the height if the base was a circle instead of a square?
3. What if 500 liters of water were removed from the tank before pouring it into the container?
4. How does the shape of the base affect the calculation of height?
5. How would you find the height if the container had a rectangular base instead of a square one?

**Tip:** When dealing with volumes and areas, remember to always check if the units are consistent before performing calculations.

Learn how to calculate the height of water poured into a container with a square base of side length 250cm. Step-by-step solution using volume and area formulas provided. Suitable for Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation