Determine the volume of the three-dimensional
figure.

288 cubic inch

Step-by-step explanation:

Top and bottom bases are trapezoid of same dimensions and height is 4 in.

Therefore,

Step-by-step explanation:

The formula of a volume of a prism:

where

B - area of a base

H - height of a prism

In the base we have the trapezoid.

The formula of an area of a trapezoid:

Where

- bases

- height of a trapezoid

From the picture we have:

Substitute:

Substitute it and H = 4 in to the formula of a volume of a prism:

2^y = ln 5, or   y(ln 2) = ln 5.   solving for y,   y = (ln 5) / (ln 2).   y=5

step-by-step explanation:

step-by-step explanation:

if x = 2 you have to find x to finish the problem