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Can you please solve this with steps ?

Can you please solve this with steps ?-example-1
User ZakS
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Answer:

The volume of the rectangular solid is (24x^3 + 26x^2 - 13x - 10) cubic units.

Explanation:

To draw a diagram of the rectangular solid, we can use a 3D representation. However, since we don't have the ability to draw 3D shapes here, I'll describe the rectangular solid and calculate the volume.

The rectangular solid has three dimensions:

Length = 2x + 1

Width = 3x - 2

Height = 4x + 5

To find the volume of the rectangular solid, we use the formula:

Volume = Length x Width x Height

Substitute the given dimensions:

Volume = (2x + 1) times (3x - 2) times (4x + 5)

Now, let's expand the expression:

Volume = (2x + 1)(3x - 2)(4x + 5)

Volume = (6x^2 - 4x + 3x - 2)(4x + 5)

Volume = (6x^2 - x - 2)(4x + 5)

Volume = 24x^3 + 30x^2 - 4x^2 - 5x - 8x - 10

Volume = 24x^3 + 26x^2 - 13x - 10

So, the volume of the rectangular solid is (24x^3 + 26x^2 - 13x - 10) cubic units.

User Alexander Hansen
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