The length, breadth and height of a cuboid are 15 cm, 12 cm and 4.5 cm respectively. Its volume is

Options

A. `243 cm^(3)`
B. `405 cm^(3)`
C. `810 cm^(3)`
D. `603 cm^(3)`

Answer

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

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

Given:
- Length (L) = 15 cm
- Breadth (B) = 12 cm
- Height (H) = 4.5 cm

Now, we can substitute these values into the formula:

\[ \text{Volume} = 15 \, \text{cm} \times 12 \, \text{cm} \times 4.5 \, \text{cm} \]

Let's calculate it step by step:

1. First, multiply the length and breadth:
\[ 15 \, \text{cm} \times 12 \, \text{cm} = 180 \, \text{cm}^2 \]

2. Next, multiply the result by the height:
\[ 180 \, \text{cm}^2 \times 4.5 \, \text{cm} = 810 \, \text{cm}^3 \]

Thus, the volume of the cuboid is:

\[ \text{Volume} = 810 \, \text{cm}^3 \]