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fatima got 5 tetra fish for her birthday. she has a prism - like water tank whose base area is 0.5 square meters and height is 0.4 meters.
assuming fatima fills the tank in its entirety, what is the density of the fish in the tank?
fish per cubic meter
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Step1: Calculate the volume of the tank
The volume \( V \) of a prism is given by the formula \( V=\text{Base Area}\times\text{Height} \). Here, the base area is \( 0.5 \, \text{m}^2 \) and the height is \( 0.4 \, \text{m} \). So, \( V = 0.5\times0.4 \).
\( V = 0.2 \, \text{cubic meters} \)
Step2: Calculate the density of the fish
Density \( d \) is defined as the number of fish divided by the volume of the tank. The number of fish is 5 and the volume is \( 0.2 \, \text{m}^3 \). So, \( d=\frac{5}{0.2} \).
\( d = 25 \)
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25