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One cubic meter of water weighs approximately 2200 pounds. There are 100 cm in one meter. If you have a box-shaped fish tank that measures 30 cm by 30 by 80 cm, what is the weight of the water that can be held in the tank?

User JamieL
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1 Answer

6 votes

Answer:

158.4 pounds

Explanation:

first find the volume of the tank


V = 30 * 30 * 80


V = 72000 cm^3

to convert this to m^3 we know that 1m = 100cm


V = 72000 cm^3 * \left(\frac{1\,\text{m}}{100\,\text{cm}}\right)^3


V = 72000 cm^3 * \left(\frac{1\,\text{m}^3}{100^3\,\text{cm}^3}\right)

the cm^3 cancel out.


V = (72000)/(100^3) m^3


V = 0.072\,m^3

by simply converting the side-lengths to meters beforehand can give you this answer directly:


V = 0.3 * 0.3 * 0.8 = 0.072 m^3

it is given that 1 meter cube of water weighs about 2200 pounds.


1\,m^3 = 2200 \,\text{lb}

multiply both sides with 0.072 to find our answer:


1\,m^3 * 0.072 = 2200 * 0.072 \,\text{lb}


0.072\,m^3 = 158.4 \,\text{lb}

hence the weight of the water in the tank would be 158.4 pounds!

User FAEWZX
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