Answer:
40 and 202.5 m³
Step-by-step explanation:
(7)
Since the figures are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{PQ}{16}[/tex] = [tex]\frac{30}{12}[/tex] ( cross- multiply )
12 PQ = 480 ( divide both sides by 12 )
PQ = 40 in
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The volume (V) of a pyramid is calculated as
V = [tex]\frac{1}{3}[/tex] Ah ( A is the area of the base and h the height ) , then
V = [tex]\frac{1}{3}[/tex] × 9² × 7.5
= [tex]\frac{1}{3}[/tex] × 81 × 7.5
= 27 × 7.5
= 202.5 m³
