Respuesta :
Answer:
The perimeter of the base of the larger pyramid is 18 cm.
Step-by-step explanation:
We have been given, two triangular pyramids are similar.
Volume of larger pyramid = 729 cubic cm
Volume of smaller pyramid = 64 cubic cm
So, the ratio of volume of larger pyramid to volume of smaller pyramid is given by:
[tex]\frac{729}{64}[/tex] = [tex]\frac{9^{3}}{4^{3}}[/tex]
Thus the ratio of side of larger pyramid to the side of smaller pyramid is given by: 9:4 or [tex]\frac{9}{4}[/tex]
Given is , the perimeter of base of smaller pyramid = 8 cm
The perimeter of base of larger pyramid will be:
[tex]\frac{9}{4}=\frac{x}{8}[/tex]
[tex]4x=72[/tex]
=>[tex]x=18[/tex] cm
Hence, the perimeter of the base of the larger pyramid is 18 cm.
