The volume of an aquarium for one fish is 384 cubic inches. The height of the aquarium is 6 inches. The base is a square. What are the dimensions of the base?
960 :)
To find the dimensions of the base of the aquarium, we need to determine the length of each side of the base.
Since the volume of the aquarium for one fish is given as 384 cubic inches, and the height is given as 6 inches, we can use the formula for volume of a rectangular prism:
Volume = length × width × height
In this case, the height is 6 inches. Let's assume the length of each side of the base is "x" inches. Since the base is a square, the width will also be "x" inches.
Therefore, the formula for the volume can be rewritten as:
384 = x × x × 6
Simplifying the equation:
384 = 6x^2
To isolate x^2, we divide both sides of the equation by 6:
64 = x^2
Taking the square root of both sides:
x = √64
x = 8
So, each side of the base of the aquarium is 8 inches.