How to Calculate the Volume of a Prism

Write down the formula for finding the volume of a triangular prism., Find the area of the base face., Find the height., Multiply the area of the triangular base face times the height., State your answer in cubic units.

5 Steps 1 min read Medium

Step-by-Step Guide

  1. Step 1: Write down the formula for finding the volume of a triangular prism.

    The formula is simply V = 1/2 x length x width x height.

    However, we'll be taking this formula apart further to use the formula V = area of base x height.

    You can find the area of the base by using the formula for finding the area of a triangle
    -- multiplying 1/2 by the length and width of the base.
  2. Step 2: Find the area of the base face.

    To calculate the volume of a triangular prism, you need to first find the area of the triangular base.

    Find the area of the base of the prism by multiplying 1/2 times the base of the triangle times its height.Ex:
    If the height of the triangular base is 5 cm and the base of the triangular prism is 4 cm, then the area of the base is 1/2 x 5 cm x 4 cm, which is 10 cm2. , Let's say the height of this triangular prism is 7 cm. , Simply multiply the area of the base times the height.

    After you multiply the base and height, you'll have the volume of the triangular prism.

    Ex:10 cm2 x 7 cm = 70 cm3 , You should always use cubic units when you're calculating volume because you're working with three dimensional objects.

    The final answer is 70 cm.3
  3. Step 3: Find the height.

  4. Step 4: Multiply the area of the triangular base face times the height.

  5. Step 5: State your answer in cubic units.

Detailed Guide

The formula is simply V = 1/2 x length x width x height.

However, we'll be taking this formula apart further to use the formula V = area of base x height.

You can find the area of the base by using the formula for finding the area of a triangle
-- multiplying 1/2 by the length and width of the base.

To calculate the volume of a triangular prism, you need to first find the area of the triangular base.

Find the area of the base of the prism by multiplying 1/2 times the base of the triangle times its height.Ex:
If the height of the triangular base is 5 cm and the base of the triangular prism is 4 cm, then the area of the base is 1/2 x 5 cm x 4 cm, which is 10 cm2. , Let's say the height of this triangular prism is 7 cm. , Simply multiply the area of the base times the height.

After you multiply the base and height, you'll have the volume of the triangular prism.

Ex:10 cm2 x 7 cm = 70 cm3 , You should always use cubic units when you're calculating volume because you're working with three dimensional objects.

The final answer is 70 cm.3

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Raymond Ramos

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