A house has an area of 215 m².  What is its area in cm²?


To convert the area of the house from square meters (m²) to square centimeters (cm²), we need to know the conversion factor between meters and centimeters:

\[
1 \, \text{m} = 100 \, \text{cm}
\]

Since we're dealing with area (square units), we square this conversion factor:

\[
1 \, \text{m}^2 = (100 \, \text{cm})^2 = 10,000 \, \text{cm}^2
\]

### Step 1: Convert the Area

Now, we can convert the given area:

\[
215 \, \text{m}^2 \times 10,000 \, \text{cm}^2/\text{m}^2 = 2,150,000 \, \text{cm}^2
\]

### Final Answer

The area of the house is **2,150,000 cm²**.

Would you like more details or have any questions? Here are 5 related questions for further exploration:

1. How do you convert cubic meters to cubic centimeters?
2. What is the area in square millimeters (mm²)?
3. How do you calculate the perimeter of a house given its area?
4. How does unit conversion work for three-dimensional shapes like volume?
5. What are some common uses of square centimeter measurements in real life?

**Tip:** Remember that when converting between squared or cubic units, you need to square or cube the conversion factor!

Learn how to convert the area of a house from square meters to square centimeters with a detailed step-by-step solution. This problem covers unit conversion and area calculation. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation