Select The Correct Answer.Frances Has 4 Square Baking Dishes. Each Pan Is 7 Inches $\times$ 7 Inches $\times$ 2 Inches. Which Expression Will Give Her The Total Volume Of All The Pans?A. $7^{\wedge} 2 \times 2$B.
Introduction
In this problem, we are given that Frances has 4 square baking dishes, each measuring 7 inches by 7 inches by 2 inches. We need to find the expression that will give her the total volume of all the pans. To solve this problem, we need to understand the concept of volume and how to calculate it.
What is Volume?
Volume is the amount of space inside a three-dimensional object. It is typically measured in cubic units, such as cubic inches or cubic centimeters. The formula for calculating the volume of a rectangular prism is:
Volume = Length × Width × Height
Calculating the Volume of One Pan
Let's calculate the volume of one pan. The length and width of the pan are both 7 inches, and the height is 2 inches. Using the formula above, we can calculate the volume of one pan as follows:
Volume = 7 × 7 × 2 Volume = 7^2 × 2 Volume = 49 × 2 Volume = 98 cubic inches
Calculating the Total Volume of All Pans
Since Frances has 4 pans, we need to multiply the volume of one pan by 4 to get the total volume of all pans. We can write this as:
Total Volume = 4 × Volume of one pan Total Volume = 4 × 98 Total Volume = 392 cubic inches
Selecting the Correct Expression
Now that we have calculated the total volume of all pans, we need to select the correct expression from the options given. Let's analyze the options:
A. 7^2 × 2 B. 7 × 7 × 2 × 4
Option A is the expression we used to calculate the volume of one pan. To get the total volume of all pans, we need to multiply this expression by 4. Therefore, the correct expression is:
Total Volume = 7^2 × 2 × 4 Total Volume = 7^2 × 8 Total Volume = 7^2 × 2^3 Total Volume = 7^2 × 2^3
Conclusion
In conclusion, the correct expression that will give Frances the total volume of all the pans is 7^2 × 2^3. This expression represents the total volume of all 4 pans, which is 392 cubic inches.
Key Takeaways
- The formula for calculating the volume of a rectangular prism is Volume = Length × Width × Height.
- To calculate the total volume of all pans, we need to multiply the volume of one pan by the number of pans.
- The correct expression for calculating the total volume of all pans is 7^2 × 2^3.
Q&A: Calculating the Total Volume of Baking Dishes =====================================================
Frequently Asked Questions
In this article, we will answer some frequently asked questions related to calculating the total volume of baking dishes.
Q: What is the formula for calculating the volume of a rectangular prism?
A: The formula for calculating the volume of a rectangular prism is:
Volume = Length × Width × Height
Q: How do I calculate the volume of one pan?
A: To calculate the volume of one pan, you need to multiply the length, width, and height of the pan. For example, if the pan measures 7 inches by 7 inches by 2 inches, the volume of one pan is:
Volume = 7 × 7 × 2 Volume = 7^2 × 2 Volume = 49 × 2 Volume = 98 cubic inches
Q: How do I calculate the total volume of all pans?
A: To calculate the total volume of all pans, you need to multiply the volume of one pan by the number of pans. For example, if Frances has 4 pans, the total volume of all pans is:
Total Volume = 4 × Volume of one pan Total Volume = 4 × 98 Total Volume = 392 cubic inches
Q: What is the correct expression for calculating the total volume of all pans?
A: The correct expression for calculating the total volume of all pans is:
Total Volume = 7^2 × 2^3
Q: Why do I need to multiply the volume of one pan by 4 to get the total volume of all pans?
A: You need to multiply the volume of one pan by 4 to get the total volume of all pans because there are 4 pans in total. Multiplying the volume of one pan by 4 gives you the total volume of all pans.
Q: Can I use a calculator to calculate the total volume of all pans?
A: Yes, you can use a calculator to calculate the total volume of all pans. Simply enter the values into the calculator and multiply them together.
Q: What if I have a different shape of pan, how do I calculate the total volume of all pans?
A: If you have a different shape of pan, you need to use a different formula to calculate the volume of one pan. For example, if you have a cylindrical pan, you need to use the formula:
Volume = π × Radius^2 × Height
To calculate the total volume of all pans, you need to multiply the volume of one pan by the number of pans.
Conclusion
In conclusion, calculating the total volume of baking dishes is a simple process that involves multiplying the volume of one pan by the number of pans. By using the correct formula and expression, you can easily calculate the total volume of all pans.
Key Takeaways
- The formula for calculating the volume of a rectangular prism is Volume = Length × Width × Height.
- To calculate the total volume of all pans, you need to multiply the volume of one pan by the number of pans.
- The correct expression for calculating the total volume of all pans is 7^2 × 2^3.
- You can use a calculator to calculate the total volume of all pans.
- If you have a different shape of pan, you need to use a different formula to calculate the volume of one pan.