Answer:
The length of the pillow in the shape of a wedge is 4 ft.
Step-by-step explanation:
The formula for the volume of a wedge is:
[tex]V = \frac{bh}{2}(L)[/tex]
Where b is the base, h is the height and L is the length.
The volume of the pillow is:
[tex]V = 12\ ^ 3[/tex]
Then we equate both equations and obtain:
[tex]\frac{bh}{2}*L = 12[/tex]
We know b and h. So we cleared L.
[tex]b = 3\ ft\\\\h = 2\ ft[/tex]
So
[tex]\frac{(3)(2)}{2}*L = 12[/tex]
[tex]\frac{6}{2}L = 12[/tex]
[tex]L = \frac{12}{3}[/tex]
[tex]L = 4\ ft.[/tex]
The length of the pillow is 4 ft.
