To determine the volume of the cuboid, follow these steps:
1. Identify the dimensions of the cuboid:
- Length [tex]\( l = 4 \, m \)[/tex]
- Width [tex]\( w = 2 \, m \)[/tex]
- Height [tex]\( h = 3.5 \, m \)[/tex]
2. Use the formula for the volume [tex]\( V \)[/tex] of a cuboid:
[tex]\[
V = \text{length} \times \text{width} \times \text{height}
\][/tex]
3. Substitute the given dimensions into the formula:
[tex]\[
V = 4 \, m \times 2 \, m \times 3.5 \, m
\][/tex]
4. Multiply the numbers:
[tex]\[
V = 4 \times 2 = 8
\][/tex]
[tex]\[
8 \times 3.5 = 28
\][/tex]
5. Hence, the volume of the cuboid is [tex]\( 28 \, m^3 \)[/tex].
Therefore, the correct answer is:
a. [tex]\( 28 \, m^3 \)[/tex]