# The volume of air in a model car is #40cm^3# . A scale of 1:50 was used to create the model. What is the volume of air in the actual car?

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I got the answer #2000cm^3# .

Is that right?

I got the answer

Is that right?

##### 4 Answers

#### Explanation:

Given:

The scale

The volume scale is then

#### Explanation:

Let's think about the calculation this way:

Let's say we have a line segment and it's length 1. We then want to scale that line using the 1:50 ratio. Our scaled line segment will be length 50. Very straightforward calculation.

Let's now look at a square. It's got length of 1 and width of 1 and an area of 1 unit squared. Let's now apply the scale. What happens? The length is now 50 and the width is also 50. The area of the square is

The same thing happens when we move to three dimensions: our cube with length 1, width 1, height 1, and volume 1 unit cubed, when scaled, now has width 50, length 50, height 50 and volume

Let's now move to our question. We have a car that has a volume of 40 cm cubed. What factor do we use for scaling to the actual size of the car?

See below

#### Explanation:

If

To convert to meters cubed if you wanted:

#### Explanation:

It is important to realise that the model and the real car are similar figures.

They have exactly the same shape, but different sizes.

The scale is

In similar figures, their volumes are in the same ratio as the cube of the lengths.

This is not a practical unit, convert to