https://file.aiquickdraw.com/mathbot/file/1725461402438jlblmbqc.jpg

The image contains a set of mathematical problems, each with specific instructions and numerical calculations. Here’s a breakdown of each question and examples where applicable:

### Breakdown of the Problems:
1. **Determine the perimeter of the given figure.**
   - **Example Calculation**: If a rectangle has sides of 5 cm and 7 cm, the perimeter \( P = 2(5 + 7) = 24 \) cm.

2. **Find the area of the given shapes.**
   - **Example Calculation**: For a rectangle with length 12 cm and width 8 cm, the area \( A = 12 \times 8 = 96 \) cm².

3. **Calculate volume for the specified 3D shapes.**
   - **Example Calculation**: For a cube with side length 4 cm, the volume \( V = 4^3 = 64 \) cm³.

4. **Solve the given algebraic equations.**
   - **Example**: Solve \( 3x + 4 = 19 \). First, subtract 4 from both sides: \( 3x = 15 \). Then divide by 3: \( x = 5 \).

5. **Convert the given units of measurement.**
   - **Example**: Convert 5 km to meters. Since 1 km = 1000 m, then \( 5 \times 1000 = 5000 \) m.

### Example of Problem with Solution:
For instance, problem 4 might state:
- **Solve for x: \( 3x + 2 = 11 \)**
  - **Solution**: Subtract 2 from both sides: \( 3x = 9 \).
  - Divide by 3: \( x = 3 \).

### Additional Questions for Practice:
1. How do you find the area of a triangle?
2. What is the volume formula for a cylinder?
3. How do you convert cm² to m²?
4. Solve the equation: \( 2x - 7 = 13 \).
5. How do you calculate the surface area of a sphere?

### Tip:
Always start by identifying what the problem is asking—perimeter, area, or volume—and use the corresponding formula accordingly.

Would you like further details on any specific problem or additional examples?

Explore a range of math problems covering geometry, algebra, trigonometry, and logarithms. Learn how to calculate perimeter, area, and volume, and solve logarithmic equations. Suitable for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation