How to find cubic feet

A “cubic measure” is a three-dimensional measure of volume. If you have a cubic measurement in a different unit, you can easily convert it to cubic feet. You can also find the volume of simple shapes like rectangular prisms and cylinders in a few simple steps. Whether you’re completing a math problem or finding the volume of a space like a bedroom or post hole, the process is the same—just multiply the area of ​​the base by the height. Also, note that cubic feet can be written as feet³.

[Edit]step

[Edit]Converting to cubic feet

1. To convert cubic inches to cubic feet, divide by 1,728. If you measure your shape or space in inches or provide units in inches, it’s easy to convert them to feet. Remember that inches are smaller units, so cubic feet will be less than cubic inches. Simply take the volume in cubic inches and divide it by 1,728.^[1]
   
   • For example, if the volume is 6,912 cubic inches, divide 6,912 by 1,728, which is 4. So the volume is 4 cubic feet.
2. Multiply by 27 to convert cubic yards to cubic feet. If you take your measurements in yards instead of feet, all you have to do is multiply the volume by 27. Remember that yards are a larger unit than feet, so you’ll have more cubic feet than cubic yards.^[2]
   
   • For example, if your shape or space has a volume of 1,000 cubic yards, multiply 1,000 by 27, which equals 27,000 cubic feet.
3. To convert cubic centimeters to cubic feet, divide by 28,316.85. Although centimeters are metric units and feet are imperial units, you can still convert between the two. Centimeters are smaller units than feet, so you’ll have more cubic centimeters than cubic feet. Start with the volume in cubic centimeters and divide by 28,316.85.^[3]
   
   • For example, if the volume of your shape or space is 500,000 cubic inches, divide 500,000 by 28,316.85. This equals 17.6573312356, which can be rounded to 17.66 cubic feet.
4. Multiply by 35.31 to convert cubic meters to cubic feet. Converting between metric units and imperial units is not as difficult as you might think. To change your measurement from the larger cubic meter to the smaller unit cubic feet, multiply by 35.31.^[4]
   
   • For example, if the volume measurement of your space or size is 450 cubic meters, multiply 450 by 35.31 for a result of 15,889.50 cubic feet.

[Edit]Finding the volume of a rectangular prism

1. Note that the formula for the volume of a rectangular prism is V=Bh. Both square shapes (cubes) and rectangular shapes are considered rectangular prisms. In this formula, V is the volume, B is the area of ​​the base and h is the height. Multiply the area of ​​the base times the height to find the volume.^[5]
   
   • Use the same units for each side of the prism. Ideally, measure in feet so that the result is in cubic feet. Otherwise, you can convert units once you find the volume.
2. Find the area of ​​the base by multiplying the length by the width. To find the area of ​​a rectangle, you need to know the length (L) and width (W). Measure each side or refer to the diagram if the numbers are provided for you. To find the area of ​​the base of a rectangular prism, multiply the length by the width.^[6]
   
   • For example, say you have a room 10 feet long and 5 feet wide. Multiply 10 feet by 5 feet, which is 50 feet².
   • Feet are squared because you are multiplying not only numbers but also units.
3. Multiply the area of ​​the base by the height to find the volume. Now that you know the area of ​​the base, measure the height or refer to the diagram if you have one. Multiply the area of ​​the base by the height to complete the formula.^[7]
   
   • For example, if the height of the room is 15 feet, multiply 15 by 50 feet² (Area at the base of the room from the previous step). The total area of ​​the room is 750 feet³.

[Edit]Calculating the volume of a cylinder

1. Use the formula V=Bh to find the volume of a cylinder. In this formula, V stands for volume, B stands for area of ​​base and h stands for height. All you need to do to find the volume of the cylinder is multiply the area of ​​the base by the height.^[8]
   
   • Measure space or shape in feet or convert all units to feet before starting so your answer is in cubic feet. Otherwise, convert the units to cubic feet when you know the volume.
2. Find the area of ​​the base using the formula πr². Refer to the diagram to find the number given for the radius (r), or measure it if you are working with a three-dimensional shape or space. Since the base is a circle, find the area by squaring the radius and multiplying by π, which equals 3.14.^[9]
   
   • For example, if you are digging a hole for a post and the radius of the post is 0.5 feet, multiply 0.5 by 0.5 to get 0.25 feet.². Then, multiply by 0.25 feet² by 3.14, which equals 0.785 feet².
   • Remember that the radius units are squared because you are multiplying them together in the same way you multiply numbers together.
   • If you know the diameter of the circle instead of the radius, divide the diameter by 2 to get the radius. So, a circle with diameter 12 will have radius 6.
3. Multiply the area of ​​the base by the height to find the volume. Measure the height of the cylinder or refer to the diagram if the numbers are given for you. Then, multiply the height by the area of ​​the base.^[10]
   
   • For example, take the area from the last step, which is 0.785 feet². If you need holes for posts 2 feet deep, the height will be 2, so multiply 2 by 0.785 feet.² to get 1.57 feet³ which is the volume of the post hole.

[Edit]reference

[Edit]Quick summary

1. ↑ https://www.thecalculatorsite.com/misc/cubic-feet-calculator.php
2. ↑ https://www.thecalculatorsite.com/misc/cubic-feet-calculator.php
3. ↑ https://www.thecalculatorsite.com/misc/cubic-feet-calculator.php
4. ↑ https://www.thecalculatorsite.com/articles/units/how-to-calculate-cubic-feet.php
5. ↑ http://virtualnerd.com/pre-algebra/perimeter-area-volume/volume/volume-examples/rectangular-prism-volume-example
6. ↑ https://www.mathplanet.com/education/pre-algebra/inequalities-and-one-step-equations/calculating-the-area-and-the-perimeter
7. ↑ http://virtualnerd.com/pre-algebra/perimeter-area-volume/volume/volume-examples/rectangular-prism-volume-example
8. ↑ https://virtualnerd.com/geometry/surface-area-volume-solid/prisms-cylinders-volume/cylinder-volume-example
9. ↑ https://www.mathsisfun.com/geometry/circle-area.html
10. ↑ https://virtualnerd.com/geometry/surface-area-volume-solid/prisms-cylinders-volume/cylinder-volume-example

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