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Answer:
Pyramid B is 2.6888 times the volume of pyramid A
Step-by-step explanation:
The volume is proportional to the height, and to the square of the linear measure of the base.
Then the ratio of volumes will be ...
B/A = (592²·247)/(492²·133) = 86564608/32194512 ≈ 2.6888
Pyramid B has the greater volume by a factor of about 2.6888.
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<em>Additional comment</em>
The actual volumes in cubic meters will be 1/48 of the numbers we used in the ratio above.
If you recall that the side length is related to the perimeter by ...
P = 4s ⇒ s = P/4
and the volume is ...
V = 1/3s²h
Then you have ...
V = 1/3(P/4)²h = 1/48·P²h . . . . . . P²h is the number we used above
