Can you convert volume to surface area

Solve surface area problem of any geometric figure when given its volume by knowing the formulas. Note that most formulas for surface area and volume for various figures are available online see the Resources.

Use the formulas in Step 1 to calculate the surface area for a sphere with a volume of 4. Find the radius of the sphere by substituting 4. Divide both sides of the equation by 4?

To get: Use the calculator to find the cubic root of 3. Find the function key designated for cubic roots, press this key and then enter the value 3. You find that the radius is 1. You can also use an online calculator for this calculation see the Resources. Substitute 1. Please contact us with your math tips and feedback! A reasonable effort has been made to ensure the accuracy of the information presented on this web site, however, the accuracy is not guaranteed.

The calculators on this site may not be accurate enough for some applications. Before using any of the provided tools or data you must check with a competent authority to validate its correctness. Northern Net Works is not responsible for any inaccurate data provided. By using this site you agree to the terms of service and privacy policy. Thank you! Formulas What is the formula for the volume of a Cube? About Simple calculators to solve your math problems. Site Pages Contact Site Map. The most important decision is selecting the object's shape from the dropdown list of shape categories.

Once you've done that, you will need to choose the exact shape of the object you want to calculate the SA:V there is a diagram representing each selection. Input the values of parameters that determine the object's size, such as the side length, radius, or height. Once you've entered the values for the object's size, the surface to volume ratio calculator automatically calculates the surface area, volume, and surface area to volume ratio.

You can change these values to see how the SA:V changes with different sizes of objects. The ratio of surface area to volume of an object is important in the sciences because it determines how fast matter and energy can be transferred within an object and between an object and its environment. Looking at the formulas given in the table above, you will find that when the length L of the cube or the radius R of the cylinder is doubled or reduced by half , it does not lead to a proportionate increase or decrease in the value of the surface area and volume.

This is because an increase or decrease in these parameters length or radius results in a greater increase or decrease in volume than the increase in surface area since the value of surface area is squared x 2 while that of volume is cubed x 3. As a result, the surface area to volume ratio is inversely proportional to the size of an object , given that length and radius determine the size.

In other words, as the size of an object increases, its ratio of surface area to volume decreases; conversely, as the size of an object decreases, its ratio of surface area to volume increases. The implication of the surface area to volume ratio is that energy or matter can move faster in objects or organisms with a higher surface area to volume ratio than those with a lower surface area to volume ratio. The SA:V has significant implications in cell theory since cell surface area to volume ratio controls the success of its metabolic processes.

Cells are small to allow substances like glucose and oxygen to move through diffusion and get rid of their waste. As the cell grows and the SA:V decreases, it may not be able to get these substances from one end of a cell to the next by diffusion as fast as it should, which slows down cell processes and growth. The principle also explains why sprinkled water evaporates faster than the same amount of water in a bucket or why granulated sugar dissolves faster than a sugar cube.

Put simply: a higher surface area improves the reactivity of a process. Surface area to volume ratio is the amount of surface area or total exposed area of a body relative to its volume or size. Calculate the surface area of the object concerned in unit squared x 2 ;. Divide the object's surface area by its volume to get its surface area to volume ratio.

The ratio of surface area to volume, or the surface area to volume ratio, is the amount of surface area or total exposed area of a body relative to its volume or size. The surface area to volume ratio is important because it determines the rate of movement of materials or energy within a body and between a body and its environment.