Final answer:
To calculate the weight of the water in an aquarium that is 4 ft long, 2 ft wide, and 4 ft deep, we find the volume and multiply it by the weight density of water. The volume is 32 cubic feet, and the weight is 2000 pounds given a density of 62.5 lb/ft³.
Step-by-step explanation:
The student is asking how to calculate the weight of the water in an aquarium with given dimensions and the known weight density of water. To find the weight of the water, we need to determine the volume of the aquarium and then multiply it by the weight density of water.
First, we calculate the volume of the aquarium using the formula for the volume of a rectangular prism: Volume = length × width × height. For an aquarium that is 4 ft long, 2 ft wide, and 4 ft deep, the volume is:
Volume = 4 ft × 2 ft × 4 ft = 32 ft³.
Next, we use the weight density of water, which is given as 62.5 lb/ft³, to calculate the weight of the water in the aquarium:
Weight of the water = Volume × weight density of water. Therefore:
Weight of the water = 32 ft³ × 62.5 lb/ft³ = 2000 lb.
So, the weight of the water in the aquarium is 2000 pounds.