An aquarium weights 22.5 lb when empty. the aquarium is 30 in. long 14in. Wide, and is filled with water to a depth of 18 in. Water weights 0.036 pound per cubic inch. How much does the aquarium weigh when it is full with water?
weight = volume * density, so
22.5 + (30*14*18)*0.036 = ____ lbs
To find the weight of the aquarium when it's full of water, we need to calculate the weight of the water and add it to the weight of the empty aquarium.
First, let's find the volume of water in the aquarium. Since the aquarium is rectangular, we can calculate the volume using the formula:
Volume = length × width × height
In this case, the length is 30 inches, the width is 14 inches, and the height (depth of water) is 18 inches. Plugging these values into the formula, we get:
Volume = 30 in. × 14 in. × 18 in.
Volume = 7560 in³
Next, let's calculate the weight of the water using the given weight density:
Weight of water = volume × weight density
Weight of water = 7560 in³ × 0.036 lb/in³
Weight of water = 272.16 lb
Finally, to find the total weight of the aquarium when it's full, we add the weight of the empty aquarium to the weight of the water:
Weight of full aquarium = Weight of empty aquarium + Weight of water
Weight of full aquarium = 22.5 lb + 272.16 lb
Weight of full aquarium = 294.66 lb
Therefore, the aquarium weighs approximately 294.66 pounds when it is filled with water.
To find the weight of the aquarium when it is full of water, we need to calculate the weight of the water and add it to the initial weight of the empty aquarium.
First, let's calculate the volume of the water in the aquarium. The volume of a rectangular prism can be found by multiplying its length, width, and height. In this case, the length is 30 inches, the width is 14 inches, and the height or depth is 18 inches.
Volume = length × width × height
Volume = 30 in × 14 in × 18 in
Volume = 7560 cubic inches
Next, we'll calculate the weight of the water by multiplying the volume by the weight per cubic inch.
Weight of water = Volume × weight per cubic inch
Weight of water = 7560 cubic inches × 0.036 lb/in^3
Weight of water = 272.16 lbs
Finally, we'll add the weight of the water to the initial weight of the empty aquarium.
Weight of the aquarium when full = Weight of the empty aquarium + Weight of water
Weight of the aquarium when full = 22.5 lbs + 272.16 lbs
Weight of the aquarium when full = 294.66 lbs
Therefore, the weight of the aquarium when it is full of water is approximately 294.66 pounds.