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Volume of Cylinders and Triangular Prisms

Calculating the Volume of a Triangular Prism:

 

1. Identify the parts: Look at the triangular prism and identify its key components – the triangular base and the height.


2. Calculate the area of the base: Measure the length of the base and the height of the triangle. To find the area of the triangular base, multiply the base length by the height and divide by 2. The formula is: Area of the base = Base length × Height ÷ 2.


3. Calculate the volume: Once you have found the area of the base, multiply it by the height of the prism. The formula is: Volume = Area of the base × Height.



Calculating the Volume of a Cylinder:

 

1. Identify the parts: Look at the cylinder and identify its key components – the circular base and the height.


2. Calculate the area of the base: Measure the radius of the circular base (the distance from the center to any point on the edge). To find the area of the base, square the radius (multiply it by itself) and then multiply it by π (pi), which is approximately 3.14. The formula is: Area of the base = π × Radius².


3. Calculate the volume: Once you have found the area of the base, multiply it by the height of the cylinder. The formula is: Volume = Area of the base × Height.



Remember, volume represents the amount of space inside a 3D shape. For a triangular prism, we calculate the volume by finding the area of the triangular base and multiplying it by the height. For a cylinder, we calculate the volume by finding the area of the circular base and multiplying it by the height. Keep practicing these steps, and you’ll become a volume expert in no time!

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