Express Cube Volume in Terms of Side Length 'a': 3D Geometry Problem

In this problem, we are tasked with expressing the volume of a cube given its side length $a$.

To find the volume of the cube, we use the standard volume formula for a cube, which is given by:

$V = \text{side length}^3$

Since the side length of this cube is $a$, we substitute $a$ into the formula:

$V = a^3$

Thus, the volume of the cube in terms of $a$ is $a^3$.

We compare this with the provided answer choices:

• Choice 1: $a^3$
• Choice 2: $6a^3$
• Choice 3: $6a^2$
• Choice 4: $a^2$

Our computed volume $a^3$ matches Choice 1.

Therefore, the correct choice is: $a^3$.