Questions: A fish tank is 2 ft wide, 3 ft tall, and 8 ft long. If one liter of treated water costs 0.09, how much would it cost to fill the tank with treated water? Round to the nearest cent. 1 liter = 0.035 cubic feet

Solution Steps

The volume \( V \) of a rectangular prism (fish tank) is calculated using the formula: \[ V = \text{length} \times \text{width} \times \text{height} \] Substitute the given dimensions: \[ V = 8 \, \text{ft} \times 2 \, \text{ft} \times 3 \, \text{ft} = 48 \, \text{cubic feet} \]

Given that \( 1 \, \text{liter} = 0.035 \, \text{cubic feet} \), the number of liters \( L \) required to fill the tank is: \[ L = \frac{V}{0.035} = \frac{48}{0.035} \approx 1371.43 \, \text{liters} \]

The cost per liter is \( \$0.09 \). The total cost \( C \) is: \[ C = L \times 0.09 = 1371.43 \times 0.09 \approx 123.43 \, \text{dollars} \] Round to the nearest cent: \[ C \approx \$123.43 \]

Final Answer