Content

• Steps
• Advice
• What you need

Have you ever had to fill sandboxes, ground pillars, or any other three-dimensional space? You need to know "mass measurement", also known as volume measurement. To calculate the volume of a square, rectangle, cylinder, or pyramid in cubic centimeters, you can do the following simple steps.

Steps

Method 1 of 4: Square or rectangle

1. 

   Measure the length of the object. You can measure in cm.
   • Example: 8 cm.

2. 

   
   
   Measure the width of the object. You should use the same unit of measure for width to maintain consistency.
   • Example: 16 cm.

3. 

   Multiply length by width. You will get the result of the bottom surface of the object.
   • Example: 8 cm x 16 cm = 128 cm².

4. 

   
   
   Measure the height of the object. Write the number down on paper.
   • Example: 27 cm.

5. 

   Multiply the area of ​​the base by the height. You will get a three-dimensional result, also known as a block result.
   • Example: 128 cm² x 27 cm = 3.456 cm³.

6. 

   
   
   Convert block units as needed. To convert cm³ to m³, divide the result by 1,000,000.
   • For example: 3.456 cm³ / 1,000,000 = 0.003456 m³.
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Method 2 of 4: Cylindrical

1. 

   Measure the width of a circular base and divide this figure in half. Half the width of a circle is also known as radius. You can measure in cm.
   • Example: 20 cm / 2 = 10 cm.

2. 

   Multiply the radius by itself. This calculation is similar to squaring a radius.
   • Example: 10 cm x 10 cm = 100 cm².

3. 

   Multiply the square of the radius by the number pi. If your calculator doesn't have a pi button (or if you want to use an approximate number), you can multiply it by 3,14. The result will be the area of ​​an object's circular base.
   • Example: 100 cm x 3.14 = 314 cm².

4. 

   Measure the distance between the two circular bases of the cylinder. Depending on the cylinder's shape, this number will likely be its length or height. Write the results on paper.
   • Example: 11 cm.

5. 

   Multiply the area of ​​a cylindrical base by this distance. You will get a three-dimensional result, also known as a block result.
   • Example: 314 cm² x 11 cm = 3,454 cm³.

6. 

   Convert block units as needed. To convert cm³ to m³, divide it by 1000000.
   • For example: 3,454 cm³ / 1,000,000 = 0.003454 m³.
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Method 3 of 4: Triangular pyramid

1. 

   Measure the "bottom surface" of the pyramid. This is the length of one side of the base of the triangle. You can measure in cm.
   • Example: 9 cm.

2. 

   Measure the “height” of the pyramid base. It is the distance between the edge you just measured and the point directly facing it on the bottom surface. You should use the same unit of measurement for height to maintain consistency.
   • Example: 12 cm.

3. 

   Multiply "base surface" by "height" and divide by 2. The result you will get will be the area of ​​the base of the triangle of the pyramid.
   • Example: 9 cm x 12 cm = 108 cm².
     • 108 cm² / 2 = 54 cm².

4. 

   Measure the height of the pyramid. Remember to measure in a straight line from the base to the top of the pyramid, not diagonally along one of its steep edges. Write down the number.
   • Example: 32 cm.

5. 

   Multiply the area of ​​the base by the height of the pyramid. You will get a three-dimensional result, also known as a block result.
   • Example: 54 cm² x 32 cm = 1.728 cm³.

6. 

   Divide this number by 3. Because length times width times height will give you volume cubes, not the pyramid, you will need to adjust this to find the volume of the pyramid. To do this, you should divide it by 3. This method is applicable to all types of apex.
   • For example: 1.728 cm³ / 3 = 576 cm³.

7. 

   Convert block units as needed. To convert cm³ to m³, divide the result by 1,000,000.
   • For example: 576 cm³ / 1,000,000 = 0.000576 m³.
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Method 4 of 4: Quadrilateral pyramid

1. 

   Measure the length of the base of the pyramid. You can measure in cm.
   • Example: 8 cm.

2. 

   Measure the width of the base of the pyramid. You should use the same unit of measure for width to maintain consistency.
   • Example: 18 cm.

3. 

   Multiply length by width. You will get the resulting area of ​​a pyramid base.
   • Example: 8 cm x 18 cm = 144 c².

4. 

   Measure the height of the pyramid. Remember to measure in a straight line from the base to the top of the pyramid, not diagonally along one of its steep edges. Write this number down on paper.
   • Example: 18 cm.

5. 

   Multiply the base area by the pyramid height. You will get a three-dimensional result, also known as a block result.
   • Example: 144 cm² x 18 cm = 2592 cm³.

6. 

   Divide this number by 3. Because length times width times height will give you volume cubes, not the pyramid, you will need to adjust this to find the volume of the pyramid. To do this, you should divide it by 3. This method is applicable to all types of apex. [[.
   • For example: 2592 cm³ / 3 = 864 cm³.

7. 

   Convert block units as needed. To convert cm³ to m³, divide the result by 1,000,000.
   • For example: 864 cm³ / 1000000 = 0.000864 m³.
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Advice

• Pay attention to whether the units of measure are consistent or not, if not, you need to convert the measurements to the same unit.
• The basic idea of ​​calculating three-dimensional space is to find the area of ​​the base surface and multiply it by the height to add a third dimension. Of course, this would be quite tricky for a base that is irregularly shaped (e.g. circle, triangle) or that possesses steep edges (e.g. pyramid, cone).
• When converting cubic centimeters to cubic meters, you divide the cm by 1,000,000, when converting cubic meters to cubic centimeters, multiply the measurement by 1,000,000.

What you need

• Measuring equipment or ruler
• Ballpoint pens
• Paper
• Computer