Content

• To step
• Method 1 of 2: Determining the cubic feet
• Tips

In principle, the conversion from a square foot to a cubic foot is not possible, but if you know the depth (or height) of an object in addition to the area, you can calculate its content. Cubic feet is a measure of volume, which means you need length, width and depth. Since the area is calculated with the length and width, calculating the volume of an object using the height is very easy.

To step

Method 1 of 2: Determining the cubic feet

1. Make sure all measurements are in feet. If you measure a dimension in feet, then all measurements must be taken in feet. You cannot use the length in inches and the width in feet, because then your answer will be meaningless. If you take the measurements yourself, make sure they are based on the same scale. If you were given different units, you can convert them as follows:
   • If given in inches: divide the size by 12 (ex. ${ displaystyle { frac {24in} {12}} = 2ft}$Converting to cubic feet is easy for any regular, straight prism by multiplying by the height. A regular straight prism is just a simple 3D shape such as a rectangular box, a cylinder, etc .: any shape with two equal shapes at both ends and a straight, regular connection between them. Determining the total cubic feet of a surface is one way of measuring its volume, or how much space a three-dimensional object occupies. With a regular prism, such as a quadrilateral, cylinder, and triangular prism, you just need to know the area of ​​the base along with its height.
     • The area of ​​the base is always in square units, such as ${ displaystyle 2ft ^ {2}}$Multiply the base by the height for the volume of a regular shape. The easiest way to see this is to think of the volume as a bar, using the standard formula ${ displaystyle Length * Width * Height}$Calculate the area of ​​a sphere by multiplying the area by r3{ displaystyle { frac {r} {3}}}Always express your answer in cubic feet after solving. This is an easy way to keep the units correct, whether it's for a garden or a homework assignment. To finalize the answer, you must indicate the units of the dimensions so that the builder, your teacher, or a friend knows if '523.6' is the number of inches, yards, feet, miles, etc. Remember: volume is always cubic. There are three generally acceptable ways to write the units for cubic feet.
       • ${ displaystyle 523.6ft ^ {3}}$Practice with an example. The following exercise is not that difficult, as long as you remember the correct equation. The answer is directly below.
         • You have a vegetable garden with carrots and potatoes, with an area of ${ displaystyle 120ft ^ {2}}$Recognize problems that ask for the volume. Not all questions will tell you to set the volume. The thing to remember is that something with a cubic unit is just a volume - so any problem with feet in the units (${ displaystyle ft ^ {3}}$Do not purchase mulch, soil, and other items sold by volume until you calculate the thickness needed for your project. This can best be illustrated with an example. Let's say you have a 100 square foot backyard for planting a garden, and you want to know how much garden soil to buy. Before you buy something you need to know how deep the bottom should be. This is the "height" of the dimension, which indicates how high the garden soil should be. For example, say you have a minimum of six inch holes for each plant:
           • Make sure all units are in feet:
             • ${ displaystyle { frac {6inch} {12}} = 0.5ft}$Convert cubic feet back to area by dividing height by volume. Because it is so easy to convert from the surface, it is also easy to convert back. Take the following exercise: You have a stove with a capacity of ${ displaystyle 6800ft ^ {3}}$Remember, this conversion only works for regular prisms and spheres. If you are dealing with an object that is curved, curved, twisted, or otherwise irregular, you cannot just obtain an area from the volume. If the object changes size or thickness, viewed from the base to the highest point, the calculated base (the area) will no longer be accurate. Such exercises usually require integral calculus to solve.
               • Imagine buying a stove for a room with a tapered ceiling. Now imagine how much more of the room you would have to heat if the room were a cube, rather than with a tapered ceiling. Although the surface area of ​​the floor is important, it is not the only thing that determines the volume.

Tips

• Always check your work by dividing your final answer by the height. This should return the original base (the area of ​​the object) as a result.