Question

5. The volume inside a rectangular storage room is 2,025 cubic

feet. The room is 9 feet high. Find the area of the floor.

Answer 1

The area of the floor is 225 square feet.

Explanation:

Given:

Volume inside rectangular storage is,
`V=2025\ ft^3`

Height of the room is,
`h=9\ ft`

A rectangular room is of the shape of a cuboid. Volume of a cuboid is equal to the product of base area and height.

Therefore, the volume 'V' of a rectangular room with floor area 'A' and height of the room 'h' is given as:

`V=Ah`

Now, rewriting the above formula in terms of floor area 'A', we get:

`V=Ah\\\\\textrm{Dividing both sides by h, we get }\\\\A=(V)/(h)`

Now, plug in 2025 for 'V', 9 for 'h' and solve for area 'A'. This gives,

`A=(2025)/(9)\\\\A=225\ ft^2`

Therefore, the area of the floor of the room is 225 square feet.