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It's general mathematics of grade 11 humss

The image contains a problem set in General Mathematics for Grade 11. Here's a transcription and breakdown of the questions:

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**Given:**

When Jill and his father visited their Uncle's bakery, their uncle made chocolate chip cookies and a rectangular cake. Jill noticed that the length of the cake is 2 feet more than its width, and its volume is 120 cubic feet.

**Questions:**

a. Find the specific length and width of the rectangular cake.

b. If Jill's family receives half of the cake, how many pieces can they have if each piece is 6 cubic feet?

c. How many ingredients should be used to make the cake as large as possible?

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### Solution Outline:

1. **For Question (a)**:  
   Let \( w \) be the width of the rectangular cake.  
   The length will then be \( w + 2 \).  
   Given that the volume of the cake is 120 cubic feet, and assuming the height \( h \) is a certain value that needs to be determined, we can set up the equation:  
   \[
   w \times (w + 2) \times h = 120
   \]
   Solve for \( w \) and \( h \).

2. **For Question (b)**:  
   Given the total volume of the cake is 120 cubic feet, if Jill's family receives half of the cake, they get \( 60 \) cubic feet.  
   Each piece is \( 6 \) cubic feet, so the number of pieces will be \( 60 / 6 = 10 \) pieces.

3. **For Question (c)**:  
   The "ingredients to make the cake as large as possible" is a somewhat ambiguous question, but it can be interpreted as optimizing the volume for a given set of dimensions or resources.

Would you like a detailed step-by-step solution for each part? Let me know!

### Related Questions:

1. What would the volume be if the width was 3 feet and the length was 5 feet?
2. How would the cake’s volume change if the length was doubled?
3. If the width is halved, what would the new dimensions and volume be?
4. What is the relationship between the width, length, and volume of a rectangle?
5. How would the problem change if the cake were cylindrical?
6. What happens to the volume if the height was not specified and you had to assume it based on the volume?
7. If the cake were cut into pieces of 3 cubic feet instead of 6, how many pieces would there be?
8. How could Jill’s family receive exactly 12 pieces?

### Tip:
When dealing with geometric problems involving volume, always double-check the units and ensure consistency across all dimensions to avoid errors.

Explore a Grade 11 General Mathematics problem involving a rectangular cake's volume and dimensions. Includes step-by-step solutions for finding dimensions, calculating volume, and optimizing cake size.

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