Questions: The volume of a container is reported as 3.49 ft^3. What is the volume in units of in^3?

Solution Steps

To convert the volume from cubic feet to cubic inches, we need to use the conversion factor between feet and inches. Since 1 foot is equal to 12 inches, we will cube this conversion factor to convert cubic feet to cubic inches.

To convert the volume from cubic feet to cubic inches, we need to use the conversion factor between feet and inches. Since \(1 \, \text{ft} = 12 \, \text{in}\), we will cube this conversion factor to convert cubic feet to cubic inches.

The conversion factor from cubic feet to cubic inches is \((12 \, \text{in/ft})^3\). Therefore, the volume in cubic inches is calculated as follows: \[ \text{Volume in cubic inches} = \text{Volume in cubic feet} \times (12 \, \text{in/ft})^3 \]

Given that the volume in cubic feet is \(3.49 \, \text{ft}^3\), we calculate: \[ \text{Volume in cubic inches} = 3.49 \times (12)^3 = 3.49 \times 1728 = 6030.72 \, \text{in}^3 \]

Final Answer