The floor Area of a room is a square of side 8m. Its height is 3m. The volume of the room is.

Options

A. `180m^3`
B. `192m^3`
C. `200m^3`
D. `150m^3 `

Answer

To find the volume of the room, we can follow these steps:

### Step 1: Calculate the area of the floor
The floor area of the room is given as a square with a side length of 8 meters. The area \( A \) of a square is calculated using the formula:
\[ A = \text{side} \times \text{side} \]
Substituting the given side length:
\[ A = 8 \, \text{m} \times 8 \, \text{m} = 64 \, \text{m}^2 \]

### Step 2: Identify the height of the room
The height \( h \) of the room is given as 3 meters.

### Step 3: Calculate the volume of the room
The volume \( V \) of a rectangular prism (in this case, the room) is calculated using the formula:
\[ V = \text{Area} \times \text{Height} \]
Substituting the area and height:
\[ V = 64 \, \text{m}^2 \times 3 \, \text{m} = 192 \, \text{m}^3 \]

### Final Answer
The volume of the room is \( 192 \, \text{m}^3 \).

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