Two triangular pyramids are similar. The volume of the larger pyramid is 729 cm3 , and the volume of the smaller pyramid is 64 cm3. If the perimeter of the base of the smaller pyramid is 8 cm, what is the perimeter of the base of the larger pyramid? 18 cm 18 cm2 27 cm 27 cm2

Respuesta :

Answer:   Second Option is correct.

Step-by-step explanation:

Since we have given that

Volume of larger pyramid = 729 cm³

Volume of smaller pyramid = 64 cm³

So, Ratio of volume of larger pyramid to volume of smaller pyramid is given by

[tex]\dfrac{729}{64}=\dfrac{9^3}{4^3}[/tex]

So, Ratio of side of larger pyramid to side of smaller pyramid is given by

[tex]\dfrac{9}{4}[/tex]

Now, Perimeter of base of smaller pyramid = 8 cm

So, We need to find the perimeter of larger pyramid.

So, it becomes,

[tex]\dfrac{\text{Side of larger pyramid}}{\text{Side of smaller pyramid}}=\dfrac{\text{Perimeter of larger pyramid}}{\text{Perimeter of smaller pyramid}}\\\\\dfrac{9}{4}=\dfrac{x}{8}\\\\x=\dfrac{9\times 8}{4}=\dfrac{72}{4}=18\ cm[/tex]

Hence, Perimeter of the base of the larger pyramid is 18 cm².

Therefore, Second Option is correct.

Answer:

It's the first option

Step-by-step explanation:

I just answered the question on edge