Cubic Feet to Square Feet Calculator
Enter volume in cubic feet:
Converting cubic feet to square feet
Converting any number from cubic feet to square is not possible directly. Both cubic feet and square are different units, one is used for volume and the other is for area.Â
To convert cubic feet to square feet we need to some different approach. calculate the height or depth, After finding the height of depth just divide the volume by height or depth, and you get the answer. Remember that both volume and height should be in the same unit eg feet or meters.
How we can find the height?
We can find height easily if all three sides of the volume given are equal in length. we can use the given formula to find the cube of any number like 250, 700 and 1500.Â
In the given examples below you see if you want to convert 250 cubic feet to square feet, first find the height as we calculated which isÂ
once we find the height length just divide the whole volume by the height length and you get the square feet area.
here if we divide by we get approximately sq ft area.
The formula to calculate Height from cubic number (\( \sqrt[3]{x} \)) of a number (\(x\)) is:
\[ \sqrt[3]{x} = x^{1/3} \]Find the cube root (\( \sqrt[3]{x} \)) for a number (\(x\)) of \(250\).
Answer:
Using the cube root formula:
\[ \sqrt[3]{250} = 250^{1/3} \approx 6.30 \]Therefore, the cube root is approximately \(6.30\).
Calculate the cube root (\( \sqrt[3]{x} \)) for a number (\(x\)) of \(700\).
Answer:
Using the cube root formula:
\[ \sqrt[3]{700} = 700^{1/3} \approx 8.86 \]Therefore, the cube root is approximately \(8.86\).
Determine the cube root (\( \sqrt[3]{x} \)) for a number (\(x\)) of \(1500\).
Answer:
Using the cube root formula:
\[ \sqrt[3]{1500} = 1500^{1/3} \approx 11.65 \]Therefore, the cube root is approximately \(11.65\).
Short formula for converting cubic feet to square feet
But if we have Volume with equal sides we can use the given short formulaÂ
| Cubic Feet (Volume) | Square Feet (Area) |
|---|
| 1 | 1.00 |
| 2 | 1.59 |
| 3 | 2.08 |
| 4 | 2.52 |
| 5 | 2.92 |
| 6 | 3.29 |
| 7 | 3.64 |
| 8 | 3.97 |
| 9 | 4.29 |
| 10 | 4.59 |
FAQs
No, you cannot directly convert cubic feet to square feet because they measure different things. Cubic feet measure volume, while square feet measure area. To convert cubic feet to square feet, you first need to know one of the dimensions (height, width, or depth) of the space
If you know the height (or one side) of the space, you can calculate the square footage by dividing the cubic feet by the height in feet. For example, if you have 250 cubic feet and a height of 6.30 feet, the square footage would be Square Feet=250/6.30≈39.68
The cube root gives you the length of one side of a cube when the volume is known. In some cases, you can use this length (height) to convert the volume in cubic feet to area in square feet by dividing the volume by this height.
If the space is not a perfect cube, you will need to know the height or another dimension. The conversion process will still involve dividing the cubic volume by one of the dimensions to get the square footage.
Yes, cubic feet is typically used to measure the volume of three-dimensional spaces like a room, a container, or any enclosed space, while square feet is used to measure the area of a flat, two-dimensional space like a floor, a wall, or a plot of land.