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# Surface area versus volume

A 3D figure has both surface area and volume measurements, but we use them for different purposes. Learn the difference and when to use each.

## Making sense of units

We have many types of units. Some measure length in $1$ dimension. Some measure area in $2$ dimensions. Others measure volume in $3$ dimensions. Units come in larger and smaller sizes, too.

## Key measurement terms

**Length**is a

*units*between one point and another. We measure length in units like centimeters, inches, feet, meters, kilometers, and miles.

**Perimeter**is a special example of length. It is the distance around a closed 2D figure.

**Area**is a

*square units*such as square centimeters (

**Surface area**is a special example of area. It tells us the number of*square units*it would take to cover the faces of the 3D figure.

**Volume**is a

*cubic units*it would take to fill a 3D figure. We measure volume in units like cubic centimeters

Notice, this means that we can measure both the surface area and the volume of a 3D figure, but they tell us different things about the figure.

## Distinguishing area and volume

Let's consider the same situations from before, this time to decide whether which type of measurement makes the most sense.

The same 3D figure can have both surface area and volume.

Let's contrast the volume and surface area of two figures.

So the figures have the same volume, but different surface areas!

The opposite is possible, too. Two figures could have the same surface area, but different volumes.

## Try it out!

## Want to join the conversation?

- why the Surface area is 32(10 votes)
- idk but i also got 32 on the first try by adding the 4 middle parts(4 votes)

- I was kind of confused after reading and doing the practice, so I had to redo it three times over. Worth it though, compared to other curriculums I've done. Is there a way I can learn to understand surface area versus volume better?(10 votes)
- Surface area is the space of all the surface areas of the box added together, volume is how much you can fit inside the box, one is squared the other cubed. Not sure how else to explain it(1 vote)

- why is it LITTARLY so hard to do and even understand?(9 votes)
- You should ask your teacher for more help if you don't understand(2 votes)

- i dont understand how to find the surface area of the 3d shape with a hole in it(4 votes)
- look at the whole and notice that it has 4 faces surrounding it. Find the surface area like you normally would then add the 4 faces to the equation. The equation would look something like this: A=8+8+3+3+3+3+1+1+1+1.(7 votes)

- What is 3x3x3x3x3x3x3x3x3x3x3x3(4 votes)
- 3x3x3x3x3x3x3x3x3x3x3x3= 531441(6 votes)

- Im kind of wondering why these questions puzzle me and why is the surface area 32?(3 votes)
- Because there is a hole in the middle so you add 4 and that gets you 32.(3 votes)

- idk what any of these questions were.(4 votes)
- How do you tell if you have to find the area or volume or surface area its sort of confusing…(4 votes)
- I still don't know how to get surface area, is there a way that I can understand?(3 votes)
- why is the surface area 34?(3 votes)