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If the cube below is filled with 18 cubic cm of water what is the ratio of cubes filled to cubes empty? Help pls there is a picture

If the cube below is filled with 18 cubic cm of water what is the ratio of cubes filled-example-1
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User Meen
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1 Answer

5 votes

First answer 2 to 1

Second answer 1.67

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Step-by-step explanation

The container has total volume of 3*3*3 = 27 cubic cm. We have 27 little cubes that make up the giant cube container.

Of those 27 cubes, 18 are filled. That leaves 27-18 = 9 cubes empty.

The ratio of filled to empty is written as "18 to 9" without quotes. We list the filled first, then empty next. That ratio "18 to 9" reduces to "2 to 1" when we divide both parts by the GCF 2.

First answer = 2 to 1

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The volume of water starts at 18 cm^3.

Remove 3 cm^3 of water to get 15 cm^3 leftover.

The area of the base is 3*3 = 9 cm^2

The new height of the water is h cm

volume = (area of base)*(height)

15 = 9h

h = 15/9

h = 1.67 cm approximately

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User MikeR
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