CAN SOMEONE PLS HELP ME (ill give brianlsit)
1 answer:
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Answer:
Option A.) 16 m³. The volume of the new pyramid is the volume of the original pyramid times 1/64.
Step-by-step explanation:
step 1
Find the volume of the original pyramid
The volume of the pyramid is equal to
where
B is the area of the base
h is the height of the pyramid
we have
----> is the area of a square
substitute
step 2
Find the volume of the new pyramid
we know that
If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube
so
Let
z -------> the scale factor
x ------> the volume of the new pyramid
y -----> the volume of the original pyramid
we have
substitute and solve for x
therefore
The volume of the new pyramid is the volume of the original pyramid times 1/64