Respuesta :
Answer:
The container hold 18 gallons of water.
Step-by-step explanation:
Given:
The length of each edge of a cube shaped container is 16 in.
One gallon equals 231 cubic inches.
Now, to find gallons of water it holds.
The length of cube shaped container = 16 in.
So, to get the volume of cube shaped container by putting formula:
[tex]Volume=(length)^3[/tex]
[tex]Volume=(16)^3\\\\Volume=4096\ cubic\ inches.[/tex]
Thus, the volume of container is 4096 cubic inches.
As given:
1 gallon = 231 cubic inches.
Now, to get the gallons of water container hold by using conversion factor:
231 cubic inches = 1 gallon.
4096 cubic inches = 4096 ÷ 231 gallons.
4096 cubic inches = 17.73 gallons.
Thus, approximately water container hold 18 gallons.
Therefore, the container hold 18 gallons of water.
The number of gallons that the cube holds is; 18 gallons
Volume of a Cube
We know that all sides of a cube are equal. So if the side of a cube is x, then volume of the cube is;
V = x³
Now, we are told that the side of the cube measures 16 in. Thus;
V = 16³
V = 4096 in³
Now, we are told that the conversion from cubic inches to gallons is;
231 in³ = 1 gallon
Thus; 4096 in³ = (4096 * 1)/231 = 17.73 gallons
Approximating to a whole number gives 18 gallons
Read more about Volume of a cube at; https://brainly.com/question/1972490
