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.
[tex]\text{Volume of triangular prism}=\frac{1}{2}(\text{length}\times\text{ width}\times \text{Height})[/tex]
Upon substituting our given values in above formula, we will get:
[tex]12\text{ ft}^3=\frac{1}{2}(\text{length}\times3\text{ ft}\times \text{2 ft})[/tex]
[tex]12\text{ ft}^3=\text{length}\times3\text{ ft}^2[/tex]
[tex]\frac{12\text{ ft}^3}{3\text{ ft}^2}=\frac{\text{length}\times3\text{ ft}^2}{3\text{ ft}^2}[/tex]
[tex]4\text{ ft}=\text{length}[/tex]
Therefore, the length of the pillow is 4 feet.
