Answer:
The length of the pillow is 4 feet.
Step-by-step explanation:
Given,
Volume of the pillow = [tex]12\ ft^3[/tex]
base = 3 ft
height = 2 ft
We need to find the length of the pillow.
Solution,
Let the length of the pillow be 'l'.
Since the pillow is in the shape of wedge.
And we know that the volume of the wedge can be calculated by using the formula;
[tex]V=\frac{bh}{2}\times l[/tex]
Where b is the base, h is the height and l is the length.
Now we substitute the given values, and get;
[tex]12=\frac{3\times2}{2}\times l\\\\12=3l[/tex]
Dividing both side by 3 we get;
[tex]\frac{12}{3}=\frac{3l}{3}\\\\l=4\ ft[/tex]
Hence The length of the pillow is 4 feet.
