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…

Question

asked Aug 7, 2020 97.6k views

2 Answers

Marlow · Answer 1 · 2020-08-13T14:35:30+0000

Answer:

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.