Respuesta :
Answer:
(5h^2 + 3k) * (25h^4 - (15h^2)k + 9k^2)
Explanation:
I got the answer right :)
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 first cube with a side length of 5h² is;
V₁ = 5h² × 5h² × 5h²
V₁ = (5h²)³
Volume of 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
Read more about volume of cubes at; https://brainly.com/question/1972490
Complete question is; A cube with side length 5h^2 is stacked on another cube with side length 3k What is the total volume of the cubes in factored form?
a. (5h^2)^3+ (3k)^3B. (5h^2+3k)(25h^4-15h^2k+9k^2)
c. (5h^2+3k)(25h^4D. (5h^2+3k)^3
