Cubic Feet to Square Feet Calculator

cubic feet to square feet calculator

Cubic Feet to Square Feet Calculator for equal sides volume

Created by Team y2calculate

Content written by Jane (Ph.D)

Coding and design by Marcelino (Ms)

Reviewed by Sajid khan (Head of content)

Fact checked ūüĒć‚úď

Published: October 26, 2023 → Last Updated: February 17, 2024
Cubic feet Square feet
1 cubic feet
Square Feet: 1.00
2 cubic feet
Square Feet: 1.59
3 cubic feet
Square Feet: 2.08
4 cubic feet
Square Feet: 2.52
5 cubic feet
Square Feet: 2.92
6 cubic feet
Square Feet: 3.30
7 cubic feet
Square Feet: 3.66
8 cubic feet
Square Feet: 4.00
9 cubic feet
Square Feet: 4.33
10 cubic feet
Square Feet: 4.64
100 cubic feet
Square Feet: 21.54
1000 cubic feet
Square Feet: 100.00

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. 

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. 

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 is 

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 formula 

\[ \text{Square Feet} = \frac{Volume}{\sqrt[3]{Volume}} \]

FAQs

How to convert cubic feet to square feet?

Converting cubic feet to square feet is a straightforward process. But it is not that straightforward that you can convert it directly from cubic feet to square feet. For a successful conversion, you need to know the height or width of the place. The formula for this conversion is as follows:

Square feet = volume/height or depth

This formula allows you to determine the floor area (in square feet) of a three-dimensional space when the volume and height or depth are known. If you have any specific values to convert, feel free to use the provided formula in your calculations.

How the calculator convert cubic ft sq ft

The calculator works on a simple formula for converting cubic feet to square feet, There are three labels, which are given below

  1. the cubic feet label: In this label, the user needs to enter the value of volume in cubic feet.
  2. height or depth label: In this label enter the value of height or depth. This is an important label, without knowing the height or depth you will not be able to convert cubic ft to sq ft
  3. third label is for the units option which allows users to paste the value of height in feet, meters, and inches.

after entering these values the calculator will convert your given value from cubic feet to square feet.

Formula for converting cubic feet to square feet

The formula for converting cubic feet to square feet is given below

Square feet = Volume/height or depth 

how to convert 1 cubic feet to square feet

If the shape of volume is cubic form and the height given is 1 feet then 1  cubic foot to square foot is 1 square foot, as we divide the volume by height or depth,  However, if the shape is irregular, conversion may need some more complex calculation.

converting  cubic feet to square feet directly is not possible however if you know height or depth you can simply divide the volume by height or depth which is given below

How to convert 5 cubic feet to square feet

To convert 5 cubic feet to square feet first we need to find the height which is  1.71 Ft, after finding the height we will divide the volume by height, and here get our answer, 5 cubic feet equals to 2.92 square feet area.

How to convert 10 cubic meter to square feet

It is not possible to convert cubic feet to a square without knowing the height or depth. For converting 10 cubic meters to square feet Let’s say we have a depth or height that is 5 feet and we know 10 cubic meters is 353.147 cubic feet so divide the volume on height which is 353.147/5= 70 sq ft

How to convert 100 cubic feet to square feet

Converting 100 cubic feet to square feet is not possible without knowing the height, let’s say we have 10 feet height so if we divide the 100 cubic feet by 10 feet height we get 10 square feet area

How to convert 200 cubic feet to square feet

to convert 200 cubic feet to square feet first, we need to know the height or depth, If the shape of volume is equal from all the sides then the height will be 5.848 feet, according to the formula by dividing the given volume by height or depth we get square feet area which is equal to 34.24 sq ft.

How to convert 1000 cubic feet to square feet

converting 1000 cubic feet to square feet is an easy task, Let’s say we know the height which is 10 feet. Simply divide 1000 cubic feet by 10 feet height we get a 100 square feet area. if all three sides of the volume are equal then enter the total volume in the above calculator.

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