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A cube with side length 2f is stacked on another cube with side length 3g2. Choose the expression that represents the total volume of the cubes. Mc001-1. Jpg mc001-2. Jpg mc001-3. Jpg mc001-4. Jpg.

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Answer:

The expression that represents the total volume of

both cubes is 8f" + 279°.

The volume of a cube is found by multiplying its

length, width, and height; for the first cube, this is

V- 2f(2f)(2/-8r.

For the second cube, this is

V-Bg(3gN3g)-27g°.

The total area is their sum, so 8f+27g.

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

V = 8f³ + 27g⁶

Formula for volume of a cube is;

Volume = length × width × height

For the first cube, we are given a length of 2f. All sides of a cube are equal

Thus volume of first cube is;

V₁ = 2f × 2f × 2f

V₁ = 8f³

For the second cube, we are told that the side length is 3g²;

Volume is given as;

V₂ = (3g² × 3g² × 3g²)

V₂ = 27g⁶

Therefore Total volume of both cubes is;

V = V₁ + V₂

V = 8f³ + 27g⁶

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