A boiler room has the shape of a rectangular prism. The area of the floor of the room is 112 square feet. The length of the room is 2 feet more than twice the width. The height is 1 foot greater than the width.
What is the volume of the room in cubic feet?

The volume of room is 784 cubic feet.

Step-by-step explanation:

We are given the following in the question:

Area of floor = 112 square feet

Let w be the width, l be the length and h be the height of the room.

Then, according to the given information:

Area of room:

Since the width cannot be negative, the width of the room is 7 feet.

Volume =

Thus, the volume of room is 784 cubic feet.