Question

angela makes a pillow in the shape of a wedge to use for watching tv. The pillow is filled with 12ft3 of fluffy material. The base is 3ft, the height is 2ft, what ish the length measure?

Answer 1

Answer: 4 feet

Explanation:

Answer 2

The length of the pillow in the shape of a wedge is 4 ft.

Explanation:

The formula for the volume of a wedge is:

`V = (bh)/(2)(L)`

Where b is the base, h is the height and L is the length.

The volume of the pillow is:

`V = 12\ ^ 3`

Then we equate both equations and obtain:

`(bh)/(2)*L = 12`

We know b and h. So we cleared L.

`b = 3\ ft\\\\h = 2\ ft`

So

`((3)(2))/(2)*L = 12`

`(6)/(2)L = 12`

`L = (12)/(3)`

`L = 4\ ft.`

The length of the pillow is 4 ft.