shipping box is shaped like a rectangular prism. The dimensions of the box are in inches, as shown below.

Which expression describes the volume, in cubic inches, of the box?

Responses

2w3+9w+20
2 w cubed plus 9 w plus 20

2w3+18w2+40w
2 w cubed plus 18 w squared plus 40 w

2w2+18w+40
2 w squared plus 18 w plus 40

2w2+4w+5

1 answer

The expression that describes the volume, in cubic inches, of the box is:

V = lwh

where l, w, and h are the length, width, and height of the rectangular prism, respectively.

From the given diagram, we can see that the length is 2w, the width is 3w, and the height is 4.

Substituting these values into the formula for the volume, we get:

V = (2w)(3w)(4)

V = 24w^2

Therefore, the correct expression for the volume of the box is:

2w2+18w+40.