The Overflow
I have a jug that is full of water. I gently pour the contents into a rectangular jar with its length being 1cm, its height being 4cm and its depth being 1cm, as shown in the image below.
It exceeds its full capacity and overflows, and I quickly rush to get a cube-shaped cup, with its volume being 9 cubic centimetres. The water flows from the jar to the cup. There is no spillage whatsoever. By the time the cup is filled to its maximum capacity, the jug is 1/3 full. What is the volume of the jug, in cubic centimetres?
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1 solution
Firstly, you need to multiply the jar's length, height and depth, because the formula for volume is V = Length x Height x Depth, which will give you four cubic centimetres. Then you add with the cup's volume = 9 cubic centimetres, and you have 13 cubic centimetres. Because the jug was 1/3 full, we need to multiply the 13 cubic centimetres by 3, because a third multiplied by three gives you a whole. We now have 39 cubic centimetres, and so therefore can conclude that our answer is 39 cubic centimetres.