From simple questions to complex issues, IDNLearn.com has the answers you need. Our experts provide timely and accurate responses to help you navigate any topic or issue with confidence.

Make the following conversion.

[tex]\[ 2 \, \text{ft}^2 \][/tex] to square inches.

[tex]\[ \square \, \text{in}^2 \][/tex]


Sagot :

To convert square feet ([tex]$ft^2$[/tex]) to square inches ([tex]$in^2$[/tex]), we need to understand the relationship between these units.

1. Identify the conversion factor:
- We know that 1 foot (ft) is equal to 12 inches (in).
- Therefore, 1 square foot ([tex]$1 ft^2$[/tex]) is equal to [tex]\(12 \times 12\)[/tex] square inches (since area is length squared).
- This results in [tex]\(1 ft^2 = 144 in^2\)[/tex].

2. Determine the given value in square feet:
- You are given that you need to convert [tex]$2 ft^2$[/tex].

3. Apply the conversion factor to the given value:
- To find the equivalent value in square inches, you multiply the given number of square feet by the conversion factor calculated above.
- Therefore, [tex]\(2 ft^2 \times 144\ in^2/ft^2\)[/tex].

4. Calculate the result:
- [tex]\(2 \times 144 = 288\ \)[/tex].

Thus, [tex]$2 ft^2$[/tex] is equivalent to [tex]\(288 in^2\)[/tex].