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 :)