Question

The length of each edge of a cube shaped container is 16in when the container is filled with water to the room to approximately how many gallons does it hold one gallon equals 231 cubic inches
a. 12g
b. 18g
c. 22g
d. 26g​

Answer 1

When the container is filled with water it can hold approximately b. 18g.

Step-by-step explanation:

Step 1:

The edge length of the container is 16 inches long.

The volume of a cube is obtained by taking the cube of the edge length.

The volume of the container $= (edgelength)^{3} = 16^{3} = 4,096$ cubic inches.

So the volume of the cube-shaped container is 4,096 cubic inches.

Step 2:

If 1 gallon equals 231 cubic inches, we need to determine how much gallons could be held in 4,096 cubic inches.

To do this we divide the volume of the container by the cubic inches in one gallon.

The number of gallons in the container $= \frac{4,096}{231} = 17.7316$ gallons.

Rounding this off, we get that the container can hold 18 gallons of water.