Answer:
4 feet.
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}=(1)/(2)(\text{length}*\text{ width}* \text{Height})](https://img.qammunity.org/2021/formulas/mathematics/high-school/1ljnt55894i7vpjytlvzwa2qbwav4c6cme.png)
Upon substituting our given values in above formula, we will get:
![12\text{ ft}^3=(1)/(2)(\text{length}*3\text{ ft}* \text{2 ft})](https://img.qammunity.org/2021/formulas/mathematics/high-school/5drvr15jypwam7b1m7w1n982yi97hzs314.png)
![12\text{ ft}^3=\text{length}*3\text{ ft}^2](https://img.qammunity.org/2021/formulas/mathematics/high-school/bms2omvwga5vqmyakybru3znf5emnsepkf.png)
![\frac{12\text{ ft}^3}{3\text{ ft}^2}=\frac{\text{length}*3\text{ ft}^2}{3\text{ ft}^2}](https://img.qammunity.org/2021/formulas/mathematics/high-school/2jepitf7u4ue32lbrm8wav1lc80sv40amg.png)
![4\text{ ft}=\text{length}](https://img.qammunity.org/2021/formulas/mathematics/high-school/bs122tb8idgyf8rvvzr9jccupef52vldzc.png)
Therefore, the length of the pillow is 4 feet.