Question

Nature center has a fish tank shaped like a rectangular prism that measures 6 feet long by 4 feet wide by 4 feet high. It can be stopped safely with three small fish in each cubic foot of water. How many small fish can fit safely in the tank question?

Answer 1

192 fishes

Explanation:

The tank is a rectangular prism, so its volume can be calculated multiplying its length, width and height:

Volume = 6 * 4 * 4 = 64 ft^3

For each cubic foot, it's safe to put 3 small fish, so the number of fishes that can be safely put into the tank is calculated with the following rule of three:

1 cubic foot -> 3 fishes

64 cubic feet -> X fishes

1/64 = 3/X

X = 64*3 = 192 fishes

Answer 2

288 small fish

Explanation:

The first thing is to calculate the volume of the prism, which would be the area of the base (length by width) and that by the height, that is:

a = l * w * h

l = 6

w = 4

h = 4

Replacing

a = 6 * 4 * 4

a = 96 cubic feet

they tell us that per cubic foot there is room for 3 small fish, therefore:

96 * 3 = 288

Which means that there are 288 small fish.