Answered

Discover the best answers at Westonci.ca, where experts share their insights and knowledge with you. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

A dodecagonal pyramid has a surface area of 130 square inches. A similar dodecagonal pyramid has a surface area of 2080 square inches. If the larger pyramid has a height of 32, what is the height of the smaller dodecagonal pyramid?

Sagot :

Answer:

8 in.

Step-by-step explanation:

The ratio of the surface areas is equal to the square of the ratio of the heights

Let h = the height of the smaller dodecagonal pyramid

So,  [tex]\frac{2080}{130} = \frac{32^{2}}{h^{2} }[/tex]

[tex]h^{2} = \frac{32^{2} * 130 }{2080}[/tex]

[tex]h^{2} = 64[/tex]

h = 8 in.

Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.