How is it calculated?

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- Apr 7th 2009, 04:38 AM #1

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- Apr 7th 2009, 05:08 AM #2

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- Apr 7th 2009, 05:32 AM #3

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- Apr 7th 2009, 05:43 AM #4
The Total Surface Area of a shape is the area of its "outer wrapping". This area is measured in squares.

The Volume of a shape is how much "stuff" you can fit inside it. This "stuff" is measured in cubes.

Notice that a cube has 6 faces.

If a cube is 10cm in length (?) then...

The area of one face is $\displaystyle 10^2\textrm{cm}^2 = 100\textrm{cm}^2$, therefore the total surface area is $\displaystyle 6\times 100\textrm{cm}^2 = 600\textrm{cm}^2$.

Since ten centimetre squares can fit along the length and ten centimetre squares can fit along the width, and ten layers can be stacked, the volume is $\displaystyle 10^3\textrm{cm}^3 = 1000\textrm{cm}^3$.

Hope that made sense.

- Apr 7th 2009, 10:47 PM #5

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## Clarification

So, if I understood correctly, the 100 cm2 is the length x the width. Now: if a cube is 6cm in length, 4cm in width and 5 cm in height, how woukl I calculate the surface area (volume is l x w x h). Are the surface area and the total surface area the same thing? Thanks for your help

- Apr 7th 2009, 11:09 PM #6