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| PAGE: 362 | SET: Exercises | PROBLEM: 51 |
Height of the pyramid is 
and its rectangular base measurements are 
and 
.
Draw the side view of the pyramid with longer side of the base facing out side and height 
is along the 
axis.
Observe the figure,
Equation of the 
is a line passing through the origin which is in the form of 
.
Where 
.
Here, 
.
Therefore, 
.
Substitute 
in 
.
.
Find the area function of the rectangular base.
.
Substitute 
in above expression.
.
Find the volume of the pyramid by integrating the area with respect to 
over the limits 
to .
.
Substitute 
in above expression.
.
Volume of the pyramid is 
.
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