Final answer:
To determine the water height in the tank, divide the volume of water by the product of the length and width of the tank's base. The calculation shows that the water would be 6 inches high.
Step-by-step explanation:
The student asked how high the water would be in a fish tank measuring 18 inches long by 10 inches wide if it is filled with 1,080 cubic inches of water. To find the height of the water, we need to use the formula for the volume of a rectangular prism (V = length × width × height).
The volume of water (V) is given as 1,080 cubic inches, and the dimensions of the base of the tank (length and width) are 18 inches and 10 inches respectively. Thus, the formula becomes 1,080 cubic inches = 18 inches × 10 inches × height.
To find the height (h), divide the volume (V) by the product of the length (l) and width (w):
height = V / (l × w) = 1,080 cubic inches / (18 inches × 10 inches) = 1,080 cubic inches / 180 square inches = 6 inches.
Therefore, the water height in the tank would be 6 inches.