If the earth is a grain of sand what is the universe equivalent to?

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If the earth is a grain of sand what is the universe equivalent to?

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Answer 1 · 2016-07-07T07:03:19

The observable universe would be smaller than the volume of the Milky Way but far larger than the largest known star.

Explanation:

Let's start with the volume of a grain of rice.

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$0.0025 f l o z = 7.29 \cdot 10^{- 8} m^{3}$ $0.0025 fl oz = 7.29*10^(-8)m^3$

Now, let's get the Earth's volume:

i.imgur.com

$2.598 \cdot 10^{11} m i^{3} = 1.083 \cdot 10^{21} m^{3}$ $2.598*10^(11)mi^3=1.083*10^(21)m^3$

We need the volume of the observable universe:

enter image source here

i.imgur.com

Set up proportions:

$\frac{1.083 \cdot 10^{21} m^{3}}{7.29 \cdot 10^{- 8} m^{3}} = \frac{3.387 \cdot 10^{80} m^{3}}{x}$ $(1.083*10^(21)m^3)/(7.29*10^(-8)m^3)=(3.387*10^(80)m^3)/x$

$x = 2.279 \cdot 10^{52} m^{3}$ $x=2.279*10^(52)m^3$

This is about 26,916 cubic light years.

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If the earth is a grain of sand what is the universe equivalent to?

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