A tank that measures 40 feet by 36 feet by 18 feet is filled with water to 5/6 of its height. 1/3 of the water is poured out of the tank. How much water is left in the tank

Question

Antoine Mckenzie

Mathematics

28 January, 07:54

A tank that measures 40 feet by 36 feet by 18 feet is filled with water to 5/6 of its height. 1/3 of the water is poured out of the tank. How much water is left in the tank

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Samara Estrada · Answer 1

so assuming the tank is just a big tall rectangular box-like tank.

well, the volume of a rectangular prism is simply the product of its length, height and width. So the volume for this one will be 40 * 36 * 18, or 25920 ft³.

if we fill that up to only 5/6, not the whole tank, how much is 5/6 of 25920? well, is really just their product, namely 21600 ft³.

and then we dump 1/3 of that 21600, how much is that anyway? well 1/3 of 21600 is really just their product, so 7200 ft³.

so we had 21600 ft³ of water, and dumped 7200 ft³, we're left only with 21600 - 7200, or 14400 ft³.