Question

Angela makes a pillow in the shape of a wedge to use for watching tv. The pillow is 12 feet three squares of fluffy material

Answer 1

Answer:

1.4 meters

Step-by-step explanation:

khan

Answer 2

Answer:

4 feet.

Step-by-step explanation:

Please consider the complete question.

Angela makes a pillow in the shape of a wedge to use for watching tv. The pillow is filled with 12 cubic feet of fluffy material. The base is 3 ft, the height is 2 ft. What is the length measure?

We know that a wedge is in form of triangular prism, so the volume of wedge will be equal to volume of triangular prism.

$\text{Volume of triangular prism}=\frac{1}{2}(\text{length}\times\text{ width}\times \text{Height})$

Upon substituting our given values in above formula, we will get:

$12\text{ ft}^3=\frac{1}{2}(\text{length}\times3\text{ ft}\times \text{2 ft})$

$12\text{ ft}^3=\text{length}\times3\text{ ft}^2$

$\frac{12\text{ ft}^3}{3\text{ ft}^2}=\frac{\text{length}\times3\text{ ft}^2}{3\text{ ft}^2}$

$4\text{ ft}=\text{length}$

Therefore, the length of the pillow is 4 feet.