Answer:
Part a) The volume of the original pyramid is
Part b) The volume of the pyramid increases by
Step-by-step explanation:
<u><em>The complete question is</em></u>
Part 1) The volume of the pyramid shown in the figure is 9,15,21, or 63 cubic centimeters?. Part 2) If the slant height of the pyramid increases by 4 centimeters and its height increases by 2 centimeters, the volume of the pyramid increases by 6,9,12 or 21 cubic centimeters?
we know that
The volume of the pyramid is equal to
where
B is the area of the base
h is the height of pyramid
see the attached figure to better understand the problem
Step 1
Find the volume of the original pyramid
the area of the base B is equal to
substitute
Step 2
Find the volume of the new pyramid
-------> the area of the base is the same
------> the height increase by
substitute
Subtract the original volume from the new volume
