# A Cube Stacked on Another Cube: Finding the Total Volume in Factored Form

## The Total Volume of Stacked Cubes

The **total volume** of the cubes **in factored form** is;

V = (5h²)³ + (3k)³

We are told that a cube with side length of 5h² is stacked on top of another cube with side length of 3k.

Formula for **volume of a cube** is;

**Volume = length × width × height**

In a cube, the length, width, and height are equal.

Thus;

**Volume of the first cube** with a side length of 5h² is;

V₁ = 5h² × 5h² × 5h²

V₁ = (5h²)³

**Volume of the second cube** with a side length of 3k is;

V₂ = 3k × 3k × 3k

V₂ = (3k)³

Thus, **total volume** is;

V = V₁ + V₂

**V = (5h²)³ + (3k)³**

**Answer:**

(5h^2 + 3k) * (25h^4 - (15h^2)k + 9k^2)

**Explanation:**

I got the answer right :)