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.