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

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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**MathsIsFun****Administrator**- Registered: 2005-01-21
- Posts: 7,632

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

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

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

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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