Final answer:
To find the length of the aquarium, which holds 120 cubic feet of water and is 5 feet wide and 3 feet deep, you divide the volume by the product of the width and depth. The length is therefore 8 feet.
Step-by-step explanation:
The question asks to find the length of a aquarium shaped like a right rectangular prism that holds 120 cubic feet of water. The given dimensions of the aquarium are 5 feet wide (w) and 3 feet deep (d). We know that the volume (V) for a right rectangular prism is calculated by the formula V = length (l) × width (w) × depth (d). We can solve for the length (l) by rearranging the formula to l = V / (w × d). Plugging in the known values gives us:
l = 120 cubic feet / (5 feet × 3 feet) = 120 / 15 = 8 feet
So the length of the aquarium is 8 feet.