Answer:
64 cm
Step-by-step explanation:
Given 2 similar figures with linear ratio = a : b, then
ratio of volumes = a³ : b³
Given
ratio of volume = 32 : 16384 then
ratio of heights = [tex]\sqrt[3]{32}[/tex] : [tex]\sqrt[3]{16384}[/tex] ← values are not exact cubes
Using proportion then letting x be height of larger pyramid
[tex]\frac{\sqrt[3]{16384} }{\sqrt[3]{32} }[/tex] = [tex]\frac{x}{8}[/tex], that is
8 = [tex]\frac{x}{8}[/tex] ( multiply both sides by 8 )
64 = x
That is vertical height is 64 cm
Answer:
64cm
Step-by-step explanation:
(Side1/Side2)³ = Volume1/Volume2
(H/8)³ =
H³/256 = 16384/32
H³ = 262144
H = 64cm
