The volume of a rectangular solid (a box) can be found using the formula V = l • w • h where l is the length, w is the width, and h is the height.
You measure a room to be 4.3 meters wide, 4.5 meters long, with ceilings 3.25 meters tall.
What is the volume of the room?
m3
Give your answer as an exact decimal

To find the volume of the room, we will use the formula for the volume of a rectangular solid (a box):

\[
V = l \cdot w \cdot h
\]

where:
- \( l \) is the length,
- \( w \) is the width,
- \( h \) is the height.

Given:
- \( l = 4.5 \) meters,
- \( w = 4.3 \) meters,
- \( h = 3.25 \) meters.

Let's calculate the volume:

\[
V = 4.5 \times 4.3 \times 3.25
\]

Now, let's compute the exact volume:

\[
V = 4.5 \times 4.3 \times 3.25 = 62.8875 \, \text{m}^3
\]

So, the volume of the room is **62.8875 cubic meters**.

Would you like more details or have any questions about this calculation?

Here are 5 related questions to expand your understanding:
1. How would the volume change if the room height was increased to 4 meters?
2. What is the formula to calculate the surface area of a rectangular solid?
3. How would you calculate the volume of a room that is not a perfect rectangular solid?
4. If you wanted to paint the walls of the room, how would you calculate the area that needs painting?
5. How do units of measurement (like meters or feet) affect volume calculations?

**Tip:** Always ensure all measurements are in the same unit when calculating volume or other spatial properties.

Learn how to calculate the volume of a room measuring 4.3 meters wide, 4.5 meters long, and with ceilings 3.25 meters tall. Detailed step-by-step solution using the volume formula for a rectangular solid. Suitable for students in Grades 7-9.

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