Final answer:
The aquarium when filled to 80% capacity requires approximately 45457.8 cm³ or 45.5 liters of water. This calculation is based on the dimensions of the aquarium. Among the given options, none match the calculated value, indicating a possible error in the question.
Step-by-step explanation:
To determine how much water is needed for the aquarium when filled to 80% capacity, we first calculate its full capacity. The volume of the aquarium is given by multiplying its length, width, and height:
Volume = Length × Width × Height
Volume = 61 cm × 30.5 cm × 30.5 cm
Volume = 56822.25 cm³
Since we want to fill the tank to only 80% of its capacity, we calculate 80% of the full volume:
80% of Volume = 0.80 × 56822.25 cm³
80% of Volume = 45457.8 cm³
When rounded to the nearest tenth, this is approximately 45457.8 cm³ or 45.5 L, since 1 cm³ is equivalent to 1 mL and 1000 mL is equivalent to 1 L.
Among the options given, answer choice b) 122.8 is not a correct answer. However, the correct answer must be a calculation error or typo, as none of the options exactly match the calculated value.