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