The dimensions of a block of cheese are 12 inches by 3 inches by 3 inches. What is the volume , in cubic inches , of the block of cheese ?

Options

A. 18
B. 36
C. 45
D. 108

Answer

To find the volume of the block of cheese, we will use the formula for the volume of a cuboid, which is given by:

\[ \text{Volume} = \text{Length} \times \text{Breadth} \times \text{Height} \]

### Step 1: Identify the dimensions
The dimensions of the block of cheese are:
- Length = 12 inches
- Breadth = 3 inches
- Height = 3 inches

### Step 2: Substitute the dimensions into the volume formula
Now, we substitute the values into the volume formula:

\[ \text{Volume} = 12 \, \text{inches} \times 3 \, \text{inches} \times 3 \, \text{inches} \]

### Step 3: Perform the multiplication
First, we can multiply the breadth and height:

\[ 3 \, \text{inches} \times 3 \, \text{inches} = 9 \, \text{square inches} \]

Now, multiply this result by the length:

\[ 12 \, \text{inches} \times 9 \, \text{square inches} = 108 \, \text{cubic inches} \]

### Conclusion
Thus, the volume of the block of cheese is:

\[ \text{Volume} = 108 \, \text{cubic inches} \]