use Dimensional Analysis to calculate how many square inches are in a square foot


To calculate how many square inches are in a square foot using dimensional analysis, follow these steps:

### Step-by-Step Process:

1. **Start with the known conversion factor:**
   - 1 foot = 12 inches (this is a standard unit conversion).

2. **Set up the dimensional analysis:**
   Since we're dealing with square feet and square inches, we'll square the conversion factor. That is, square both sides of the equation:
   \[
   (1 \text{ foot})^2 = (12 \text{ inches})^2
   \]
   Simplifying both sides:
   \[
   1 \text{ square foot} = 144 \text{ square inches}
   \]

### Final Answer:
\[
1 \text{ square foot} = 144 \text{ square inches}
\]

This means that there are **144 square inches in 1 square foot**.

Would you like more details or have any further questions?

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Here are 5 related questions:
1. How would you convert square yards to square inches using dimensional analysis?
2. If a room is 120 square feet, how many square inches is it?
3. How do you convert cubic feet to cubic inches using dimensional analysis?
4. How would you calculate the area in square inches of a rectangle measuring 3 feet by 2 feet?
5. How many square inches are in half a square foot?

**Tip:** Always remember to square both sides of the conversion factor when dealing with areas.

Use Dimensional Analysis to calculate how many square inches are in a square foot.

This guide explains how to use dimensional analysis to convert square feet to square inches. Learn the step-by-step process and understand the formula 1 square foot = 144 square inches, ideal for students in Grades 5-7.

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