Surface Area Formulas
In general, the surface area is the sum of all the areas of all the shapes that cover the surface of the object. Cube | Rectangular Prism | Prism | Sphere | Cylinder | Units

Note: "ab" means "a" multiplied by "b". "a2" means "a squared", which is the same as "a" times "a".

Be careful!! Units count. Use the same units for all measurements. Examples

|Surface Area of a Cube = 6 a 2 |

[pic](a is the length of the side of each edge of the cube)
In words, the surface area of a cube is the area of the six squares that cover it. The area of one of them is a*a, or a 2 . Since these are all the same, you can multiply one of them by six, so the surface area of a cube is 6 times one of the sides squared.

|Surface Area of a Rectangular Prism = 2ab + 2bc + 2ac |

[pic](a, b, and c are the lengths of the 3 sides)
In words, the surface area of a rectangular prism is the are of the six rectangles that cover it. But we don't have to figure out all six because we know that the top and bottom are the same, the front and back are the same, and the left and right sides are the same. The area of the top and bottom (side lengths a and c) = a*c. Since there are two of them, you get 2ac. The front and back have side lengths of b and c. The area of one of them is b*c, and there are two of them, so the surface area of those two is 2bc. The left and right side have side lengths of a and b, so the surface area of one of them is a*b. Again, there are two of them, so their combined surface area is 2ab.

|Surface Area of Any Prism |

[pic] (b is the shape of the ends)
Surface Area = Lateral area + Area of two ends
(Lateral area) = (perimeter of shape b) * L
Surface Area =...

...Planning
Aim
To determine how the surfacearea of the tablets affects the rate of the reaction. To determine which form of tablets gives the biggest surfacearea resulting in the fastest reaction rate.
Investigation question:
What is the relationship between the total surfacearea of the tablets and the rate of the reaction?
Hypothesis:
The rate of reaction will be the fastest when the tablets...

...Surfacearea / Volume ratio Experiment
Introduction:
The surfacearea to volume ratio in living organisms is very important. Nutrients and oxygen need to diffuse through the cell membrane and into the cells. Most cells are no longer than 1mm in diameter because small cells enable nutrients and oxygen to diffuse into the cell quickly and allow waste to diffuse out of the cell quickly. If the cells were any bigger than this then it...

...INTERNATIONAL BACCALAUREATE
BIOLOGY INTERNAL ASSESMENT
DATA COLLECTION AND PROCESSING
CONCLUSION AND EVALUATION
RELATIONSHIP BETWEEN SURFACEAREA AND THE VOLUME OF A CELL, HOW IT AFFECTS THE RATE OF DIFFUSION
Nazirul Ibrahim
04.10.2011
DATA COLLECTION AND PROCESSING
We have determined the following variables:
* dV- the time for the color indicator phenolphthalein to reach the center of the cube (diffusion)
* iV- the size of the cube...

...SurfaceArea to Volume Ratio and the Relation to the Rate of Diffusion
Aim and Background
This is an experiment to examine how the SurfaceArea / Volume Ratio affects the rate of diffusion and how this relates to the size and shape of living organisms.
The surfacearea to volume ratio in living organisms is very important. Nutrients and oxygen need to diffuse through the cell membrane and into the cells....

...diffusion. Diffusion is the process that cells use to obtain oxygen, water and food. Also, how they lose waste substances, for example, urea and carbon dioxide. Basically, Diffusion is when particles move from an area of high concentration to an area of low concentration. The surfacearea to volume ratio of the cell is an important factor in diffusion. It is the effect of this factor that will be investigated in this practical....

...000234333
EFT4: Math: Task 5: SurfaceArea of Cubes
Introducing SurfaceArea
For a fifth or sixth grade class to understand the concept surfacearea in relation to a cube they need to understand what a cube is first. They will learn that a cube is a special type of rectangular solid. The length, width, and height of a cube are exactly the same. After explaining what a cube is they will need to understand...

...growth, more chemical activity will have to happen and the rate of metabolism will also increase, which means that more substances have to be taken in and to also be removed. This is where the surfacearea to volume ratio comes into place; the reason why this ratio is so important is because the surfacearea of a cell essentially affects the rate of the transferring of useful substances (through diffusion and osmosis etc.) in and out of...

...of Changing the surfacearea on the Rate of Reaction?
By :
22/10/2013
The effect of changing the surfacearea on the
rate of reaction?
Unit Question: Should we speed things up or slow them down?
Hypothesis:
According to collision theory, should the surfacearea increase the amount of collisions increase increasing the...