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The length of the prism is 14 cm if the volume of the prism is 378 cubic cm and face area is 27 square cm.
<h3>What is volume?</h3>It is defined as a three-dimensional space enclosed by an object or thing.
The question is incomplete.
The complete question is in the picture please refer to the attached picture.
We know the volume of the prism can be calculated:
Volume = base area×length
378 = 27x
x = 378/27 = 14 cm
Thus, the length of the prism is 14 cm if the volume of the prism is 378 cubic cm and face area is 27 square cm.
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Answer:
The receiver must be placed at a distance of 6.125 ft from the center.
Step-by-step explanation:
The dish is of parabola shape with the length of 14 feet and 2 feet deep from the center.
A parabola is a curve which is a set of all points in the plane which are at equal distance away from a given point called focus and given line called directrix.
We have to find out the point at which all the waves comes to one point where the receiver must be placed is the focus of the parabola.
The above scenario is shown in the image which can be converted in mathematical graphical representation of the parabolic curve.
The extreme two end points becomes, (-7,2) and (7,2)
The general equation for such parabola is:
x² = 4ay
where, a is the distance from the center and the focus.
Since, (7,2) satisfy the equation so,
7² = 4a×2
a = 49 /8
Thus,
<u>The receiver must be placed at a distance of 6.125 ft from the center.</u>
