Wanda has a fishtank that is 2 feet long, 3 feet wide, 4 feet high. If she pours 20 cubic feet (feet3=ft3) what it the height of the water level in the tank? Round answers to the nearest hundredth
Online "^" is used to indicate an exponent, e.g., x^2 = x squared.
Tank = 2 * 3 * 4 = 24ft^3
Water = 2 * 3 * h = 20ft^3
To find the height of the water level in the fishtank, we need to calculate the volume of water poured into the tank and then divide it by the area of the base of the tank.
The volume of a rectangular prism (like a fishtank) is calculated by multiplying the length (L), width (W), and height (H) together. In this case, the length is 2 feet, the width is 3 feet, and the height is given as 4 feet.
Volume of the fishtank = Length x Width x Height
= 2 ft x 3 ft x 4 ft
= 24 ft³
Since Wanda pours 20 ft³ of water into the tank, we need to find the height of the water level. Let's denote it as h.
Volume of water poured = Length x Width x Height of water level
= 2 ft x 3 ft x h
= 6h ft³
Now, we can set up an equation to solve for h:
6h ft³ = 20 ft³
Dividing both sides of the equation by 6:
h ft³ = 20 ft³ / 6
≈ 3.33 ft³
Therefore, the height of the water level in the tank is approximately 3.33 feet when 20 cubic feet of water is poured into the tank.