https://file.aiquickdraw.com/mathbot/file/1726312347410cnl45fgc.jpg

The image shows a matching problem where formulas must be matched to the correct geometric shape or surface/volume type. Below is the correct matching:

1. **Oberfläche vom Würfel** ("Surface area of a cube") → **C** (O = 6a²)
2. **Volumen von der Pyramide** ("Volume of a pyramid") → **B** (V = (G · h)/3)
3. **Mantel des Kegels** ("Lateral surface area of a cone") → **G** (M = πrs)
4. **Volumen der Kugel** ("Volume of a sphere") → **F** (V = 4/3πr³)
5. **Oberfläche des Quaders** ("Surface area of a rectangular prism") → **D** (O = 2(ab + ac + bc))
6. **Volumen vom Würfel** ("Volume of a cube") → **E** (V = a³)
7. **Mantel des Zylinders** ("Lateral surface area of a cylinder") → **A** (M = 2πrh)
8. **Oberfläche der Kugel** ("Surface area of a sphere") → **H** (O = 4πr²)

Would you like further explanations for any of the formulas?

Here are 5 related questions:
1. What is the formula for the volume of a cone?
2. How do you calculate the surface area of a cylinder?
3. How does the surface area of a pyramid differ from that of a cone?
4. Can the formula for the volume of a pyramid be used for any pyramid?
5. What is the relationship between the volume and surface area of a sphere?

**Tip**: To distinguish between different shapes, remember that the lateral area refers to only the sides, while total surface area includes all faces.

Match the surface areas and volumes with the correct formulas for different geometric shapes.

Understand and apply the formulas for surface area and volume of common geometric shapes, including cubes, spheres, pyramids, and cylinders. Learn how to calculate each with detailed explanations and example problems. 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