whivh equation would be the right one to find the volume of the figure 

To find the correct equation for the volume of a figure, the specific type of the 3D figure must be identified. Here's a guide to some common figures and their volume formulas:

### **1. Cube**
- **Volume formula:**  
  \[ V = s^3 \]  
  Where \( s \) is the length of a side.

### **2. Rectangular Prism (Box)**
- **Volume formula:**  
  \[ V = l \times w \times h \]  
  Where \( l \), \( w \), and \( h \) are the length, width, and height.

### **3. Sphere**
- **Volume formula:**  
  \[ V = \frac{4}{3} \pi r^3 \]  
  Where \( r \) is the radius.

### **4. Cylinder**
- **Volume formula:**  
  \[ V = \pi r^2 h \]  
  Where \( r \) is the radius of the base, and \( h \) is the height.

### **5. Cone**
- **Volume formula:**  
  \[ V = \frac{1}{3} \pi r^2 h \]  
  Where \( r \) is the radius of the base, and \( h \) is the height.

### **6. Pyramid**
- **Volume formula:**  
  \[ V = \frac{1}{3} \times \text{Base Area} \times h \]  
  Where \( h \) is the height of the pyramid, and the base area depends on the shape of the base (square, rectangular, etc.).

### **7. Triangular Prism**
- **Volume formula:**  
  \[ V = \text{Base Area} \times h \]  
  The base area is the area of the triangular face, and \( h \) is the height (length) of the prism.

To determine the right equation, you need to know what kind of 3D shape you're working with. Could you describe or specify the figure?

Here are 5 related questions:
1. How do you find the volume of a composite figure?
2. What formula would you use for the volume of a hemisphere?
3. How do you calculate the volume of a truncated cone?
4. What’s the relationship between surface area and volume in 3D figures?
5. How does scaling a 3D figure affect its volume?

**Tip:** Always ensure that all measurements are in the same units before applying volume formulas!

Discover how to find the correct equation for calculating the volume of various 3D figures such as cubes, spheres, cylinders, cones, pyramids, and triangular prisms. Includes detailed volume formulas and explanations. Suitable for anyone needing to calculate volumes in geometric contexts.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation