Total Volume of Stacked Cubes Calculation

What is the total volume of two stacked cubes with different side lengths?

Given a cube with side length 2f stacked on another cube with side length 3g², how do we calculate the total volume of both cubes?

Answer:

The expression that represents the total volume of both cubes is;

V = 8f³ + 27g⁶

When calculating the total volume of two stacked cubes with different side lengths, it is important to consider each cube's volume individually and then add them together.

The formula for the volume of a cube is length × width × height. For the first cube with a side length of 2f, the volume can be calculated as V₁ = 2f × 2f × 2f = 8f³.

Similarly, for the second cube with a side length of 3g², the volume is V₂ = 3g² × 3g² × 3g² = 27g⁶.

Therefore, the total volume of both cubes stacked on each other is obtained by adding the individual volumes together, resulting in V = 8f³ + 27g⁶.

By following this calculation method, you can find the total volume of stacked cubes with different side lengths accurately.