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How to Calculate Volume of Prisms Step by Step

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How to Calculate Volume of Prisms Step by Step
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Kinga Kosiec

@kingakosiec_uide

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Learn how to calculate volume of prisms step by step with this comprehensive guide covering rectangular and triangular prisms, including practical examples and essential formulas.

  • The formula for volume of triangular prisms combines the area of the triangular face with the prism's length
  • Volume calculations require multiplying height, width, and length for rectangular prisms
  • For triangular prisms, an additional step of multiplying by ½ is necessary
  • Proper unit notation (cubic units) is essential for accurate volume calculations
  • Examples of prism volume calculations demonstrate both rectangular and triangular prism solutions

31/07/2023

354

a)
ME I
cm
31/07/23 manday
Volume of prisms
you caculate volume of prisms
by multiplying height, length and a)
width.
(example)
4cm
b)
5cm
H

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Understanding Prism Volume Calculations

This page provides a detailed explanation of how to calculate the volume of both rectangular and triangular prisms.

Definition: Volume of a rectangular prism is calculated by multiplying height, length, and width together.

Example: A rectangular prism with dimensions 3cm × 4cm × 6cm has a volume of 72 cubic centimeters (72cm³).

Highlight: For triangular prisms, the formula includes an additional step of multiplying by ½ to account for the triangular face.

Vocabulary: Cubic units (cm³) are used to express volume measurements, indicating three-dimensional space.

The page includes several worked examples:

  1. A rectangular prism calculation: 3 × 4 × 6 = 72cm³
  2. A triangular prism problem: 5 × 6 × 20 × ½ = 300cm³
  3. Additional practice problems with dimensions:
    • 5m × 7m × 4m × ½
    • 8m × 7m × 5.5m × ½

Example: A triangular prism with base 8m, height 7m, and length 5.5m has a volume of 154 cubic meters when calculated using the formula: V = (b × h × l) × ½.

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How to Calculate Volume of Prisms Step by Step

user profile picture

Kinga Kosiec

@kingakosiec_uide

·

1 Follower

Follow

Learn how to calculate volume of prisms step by step with this comprehensive guide covering rectangular and triangular prisms, including practical examples and essential formulas.

  • The formula for volume of triangular prisms combines the area of the triangular face with the prism's length
  • Volume calculations require multiplying height, width, and length for rectangular prisms
  • For triangular prisms, an additional step of multiplying by ½ is necessary
  • Proper unit notation (cubic units) is essential for accurate volume calculations
  • Examples of prism volume calculations demonstrate both rectangular and triangular prism solutions

31/07/2023

354

 

9

 

Maths

4

a)
ME I
cm
31/07/23 manday
Volume of prisms
you caculate volume of prisms
by multiplying height, length and a)
width.
(example)
4cm
b)
5cm
H

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Understanding Prism Volume Calculations

This page provides a detailed explanation of how to calculate the volume of both rectangular and triangular prisms.

Definition: Volume of a rectangular prism is calculated by multiplying height, length, and width together.

Example: A rectangular prism with dimensions 3cm × 4cm × 6cm has a volume of 72 cubic centimeters (72cm³).

Highlight: For triangular prisms, the formula includes an additional step of multiplying by ½ to account for the triangular face.

Vocabulary: Cubic units (cm³) are used to express volume measurements, indicating three-dimensional space.

The page includes several worked examples:

  1. A rectangular prism calculation: 3 × 4 × 6 = 72cm³
  2. A triangular prism problem: 5 × 6 × 20 × ½ = 300cm³
  3. Additional practice problems with dimensions:
    • 5m × 7m × 4m × ½
    • 8m × 7m × 5.5m × ½

Example: A triangular prism with base 8m, height 7m, and length 5.5m has a volume of 154 cubic meters when calculated using the formula: V = (b × h × l) × ½.

Can't find what you're looking for? Explore other subjects.

Knowunity is the #1 education app in five European countries

Knowunity has been named a featured story on Apple and has regularly topped the app store charts in the education category in Germany, Italy, Poland, Switzerland, and the United Kingdom. Join Knowunity today and help millions of students around the world.

Ranked #1 Education App

Download in

Google Play

Download in

App Store

Knowunity is the #1 education app in five European countries

4.9+

Average app rating

13 M

Pupils love Knowunity

#1

In education app charts in 12 countries

950 K+

Students have uploaded notes

Still not convinced? See what other students are saying...

iOS User

I love this app so much, I also use it daily. I recommend Knowunity to everyone!!! I went from a D to an A with it :D

Philip, iOS User

The app is very simple and well designed. So far I have always found everything I was looking for :D

Lena, iOS user

I love this app ❤️ I actually use it every time I study.