Question

? Question
An artist created two sculptures in the shape of similar hexagonal pyramids. The height of the larger pyramid is 6 times the height of the smaller
pyramid. Which two statements are true?
A
Figures not drown to scale
Select all the correct answers.
The perimeter of the larger pyramid's base is 6 times the perimeter of the smaller pyramid's base,
The perimeter of the larger pyramid's base is 12 times the perimeter of the smaller pyramid's base.
The perimeter of the larger pyramid's base is 36 times the perimeter of the smaller pyramid's base.
The area of the larger pyramid's base is 6 times the area of the smaller pyramid's base,
The area of the larger pyramid's base is 12 times the area of the smaller pyramid's base.
The area of the larger pyramid's base is 36 times the area of the smaller pyramid's base.
EXTO 5:18

Answer 1

Answer:

The first one and the last one.

Step-by-step explanation:

Explanation:

Because the two pyramids are similar, their corresponding faces are also similar.

So, the hexagonal bases are similar, and the following relationships exist:

perimeter of larger base = k • perimeter of smaller base

area of larger base = k2 • area of smaller base

We know that the height of the larger pyramid is 6 times the height of the smaller pyramid. This implies that the scale factor, k, from the smaller pyramid to the larger pyramid is 6.

So, the perimeter of the larger pyramid’s base is 6 times the perimeter of the smaller pyramid’s base. Also, the area of the larger pyramid’s base is k2 = 62 = 36 times the area of the smaller pyramid’s base.

Answer 2

Answer:

1. The perimeter of the larger pyramid's base is 6 times the perimeter of the smaller pyramid's base.

6. The area of the larger pyramid's base is 36 times the area of the smaller pyramid's base.

Step-by-step explanation: