Answer:
(b) 1/8
Explanation:
You want the ratio of the volume of the small pyramid to that of the larger one, given their base lengths are 7 and 14 units.
Scale factor
The pyramids are presumed to be similar, so the ratio of the sides given is also the ratio of the unmarked sides and the heights. The volume ratio is the cube of this ratio of side lengths:
smaller/larger sides = 7/14 = 1/2
smaller/larger volumes = (1/2)³ = 1/8
The ratio of the volume of the small pyramid to the larger is 1/8.
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