question archive 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

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

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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)^3

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

c. (5h^2+3k)(25h^4

D. (5h^2+3k)^3

 

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Answer:

Total Volume = V? + V?
V? = Volume of Cube 1
V? = Volume of Cube 2

Volume of Cube = (Side Length)³
V? = (5h²)³
V? = (3k)³

∴ Total Volume = (5h²)³ + (3k)³
And this cannot be simplified further.
So correct answer is: A