Final answer:
To find the area of the base of a rectangular prism, we use the formula V = Ah and rearrange it to A = V/h. With a volume of 154 cubic inches and a height of 11 inches, the area of the base is calculated to be 14 square inches.
Step-by-step explanation:
The area of the base of a rectangular prism can be determined if you know the volume of the prism and its height. We can use the formula for the volume of a rectangular prism, which is V = Ah, where V stands for volume, A is the area of the base, and h is the height. The problem provides the volume as 154 cubic inches and the height as 11 inches.
First, we write down the provided formula which gives us the volume in terms of the area of the base and height:
V = Ah
Then, we can rearrange this formula to solve for the area of the base (A) by dividing both sides of the equation by the height (h):
A = V/h
Now we plug in the provided values:
A = 154 in.3 / 11 in.
This gives us:
A = 14 in.2
So, the area of the base of the rectangular prism is 14 square inches.