A box has a volume of 50ft ^ 3 what is its volume in cm³?

To convert the volume from cubic feet to cubic centimeters, you need to use the conversion factor:

- 1 foot = 30.48 centimeters.

So, to convert cubic feet to cubic centimeters, you raise the conversion factor to the third power:

\[
1 \text{ ft}^3 = (30.48 \, \text{cm})^3 = 30.48^3 \, \text{cm}^3 = 28,316.8466 \, \text{cm}^3
\]

Now, multiply the given volume in cubic feet by this conversion factor:

\[
50 \, \text{ft}^3 \times 28,316.8466 \, \text{cm}^3/\text{ft}^3 = 1,415,842.33 \, \text{cm}^3
\]

So, the volume of the box is approximately **1,415,842.33 cm³**.

Would you like more details, or do you have any further questions?

---

Here are 5 related questions:
1. How do you convert surface area from square feet to square centimeters?
2. If the box's height is 5 feet, what are its other dimensions given its volume?
3. How would you convert a volume in cubic inches to cubic centimeters?
4. What would be the volume in liters if the box were filled with water?
5. What is the importance of unit conversion in real-world applications?

**Tip:** Always check the units and conversion factors carefully when switching between different measurement systems!

A box has a volume of 50ft³. What is its volume in cm³?

Learn how to convert a volume of 50 ft³ to cm³. This problem explains the unit conversion from feet to centimeters and applies it to cubic measurements, resulting in approximately 1,415,842.33 cm³. Suitable for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation