9. A shipping box is shaped like a rectangular prism. The dimensions of the box are in inches, as shown below. (w+5) inches
(w+4) inches."
(2w) inches
Which expression describes the volume, in cubic inches, of the box?
A. 2w3 + 9w + 20
B. 243 + 182 + 402
C. 2u2 + 18w + 40
D. 2w2 + 4w+5

Given:

The dimensions of the box are (w+5) inches, (w+4) inches, (2w) inches.

To find:

The expression that describes the volume of the box.

Solution:

We know that the volume of a rectangular prism is:

Substituting the given values, we get

Using distribution property, we get

Therefore, the volume of the box is cubic inches.

Note: All the options are incorrect.

step-by-step explanation:

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