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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

User Heroka
by
5.1k points

2 Answers

4 votes

Answer:

1.4 meters

Explanation:

khan

User Holy
by
4.2k points
6 votes

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})

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})


12\text{ ft}^3=\text{length}*3\text{ ft}^2


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


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

Therefore, the length of the pillow is 4 feet.

User Fabians
by
5.4k points
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