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## #1 2006-11-13 23:17:26

Toast
Real Member
Registered: 2006-10-08
Posts: 1,321

### Depth of Water in a cuboid

5 litres of water is poured into a cuboid with base dimensions of 10 cm by 12 cm and a height of 50 cm. What is the depth of water in the cuboid correct to the nearest millimetre?

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## #2 2006-11-13 23:56:23

MathsIsFun
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Registered: 2005-01-21
Posts: 7,664

### Re: Depth of Water in a cuboid

5 litres = 5000 cm[sup]3[/sup]

5000/(10x12) = 41.666... cm = 42 mm (to the mm)

"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman

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## #3 2006-11-14 00:48:09

Toast
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Registered: 2006-10-08
Posts: 1,321

### Re: Depth of Water in a cuboid

Why, uh, do you divide by (10x12)?

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## #4 2006-11-14 02:32:03

mathsyperson
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Registered: 2005-06-22
Posts: 4,900

### Re: Depth of Water in a cuboid

Because that's the base area of the cuboid. The height of water will go up by 1cm for every 120cm³ you pour in, so to find the height you need to divide the volume by that.

Why did the vector cross the road?
It wanted to be normal.

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