The volume of the pyramid would be 2406.16 cubic cm.
<h3>How to find the volume of a square-based right pyramid?</h3>Supposing that:
The length of the sides of the square base of the pyramid has = b units
The height of the considered square-based pyramid = h units,
The pyramid below has a square base.
h = 24.4 cm
b = 17.2 cm
Then, its volume is given by:
Therefore, the volume of the pyramid would be 2406.16 cubic cm.
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By using the concepts of <em>unit</em> circle and <em>trigonometric</em> functions, we find that the angle OA, whose x-coordinate is 0.222, has a measure of approximately 77.173°.
<h3>How to find an angle in an unit circle</h3>
<em>Unit</em> circles are circles with radius of 1 and centered at the origin of a Cartesian plane, which are used to determine angles and <em>trigonometric</em> functions related to them. If we use <em>rectangular</em> coordinate system and the definition of the <em>tangent</em> function, we find that the angle OA is equal to:
tan θ ≈ 77.173°
By using the concepts of <em>unit</em> circle and <em>trigonometric</em> functions, we find that the angle OA, whose x-coordinate is 0.222, has a measure of approximately 77.173°.
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The rectangle maximum area will be A=9 square units with the length=3 and the width=3.
<h3>What is area of rectangle?</h3>Area is defined as the space occupied by a plane or rectangle having length and width in two dimensional plane.
It is given that the perimeter of rectangle is P=12
So from the formula of perimeter of rectangle
2(L+W)=12
L+W=6
L=6-W
Now the area of rectangle will be
A=LxW
A=(6-W)W
Now for maximum area we will find the derivative and equate to zero.
So the area will be
Hence the rectangle maximum area will be A=9 square units with the length=3 and the width=3.
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