Find the volume (in `cm^(3)`) of a cuboid of length breadth and height of 7.5 cm, 5 cm and 6 cm respectively.

Options

A. 195
B. 180
C. 225
D. 173

Answer

To find the volume of a cuboid, we can use the formula:

**Volume = Length × Breadth × Height**

Given:
- Length (L) = 7.5 cm
- Breadth (B) = 5 cm
- Height (H) = 6 cm

Now, we can substitute the values into the formula:

1. **Calculate the volume:**
\[ \text{Volume} = L \times B \times H = 7.5 \, \text{cm} \times 5 \, \text{cm} \times 6 \, \text{cm} \]

2. **Multiply the breadth and height first:**
\[ B \times H = 5 \, \text{cm} \times 6 \, \text{cm} = 30 \, \text{cm}^2 \]

3. **Now multiply the result by the length:**
\[ \text{Volume} = 7.5 \, \text{cm} \times 30 \, \text{cm}^2 \]

4. **Perform the multiplication:**
\[ 7.5 \times 30 = 225 \, \text{cm}^3 \]

Thus, the volume of the cuboid is **225 cm³**.

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