Question

The Zamoras rent a storage room that is 10 feet wide, 12 feet long, and

8 feet high. How many cube-shaped boxes 1 foot on each edge can the

Zamoras store in the room?

Answer 1

960 cubes

Explanation:

To find how many cubes of side 1 foot can be contained in the room, we have to find the volume of the storage room and then, divide by the volume of the cube.

The storage room is in the shape of a rectangular prism, hence, its volume is:

`V = L * W * H`

where L = length

W = width

H = height

The dimensions of the storage room are:

10 feet wide, 12 feet long, and 8 feet high

Hence, its volume is:

`V = 10 * 12 * 8 = 960 ft^3`

The volume of the cube of side 1 foot is:

`V = S^3\\\\V = 1^3 = 1 ft^3`

Hence, the number of cubes that can be contained in the storage room is:

960 / 1 = 960 cubes

960 cubes can be stored in the storage room.