Answered

Welcome to Westonci.ca, where finding answers to your questions is made simple by our community of experts. Experience the ease of finding reliable answers to your questions from a vast community of knowledgeable experts. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

A prism is dilated by a factor of 1. 5. How many times larger is the volume of the resulting prism than the volume of the original prism? Enter your answer as a decimal in the box.

Sagot :

ashishdwivedilVT

The volume of the resulting prism is 3.375 times of original volume.

What is a dilation or scale factor?

The factor by which the dimensions of an object are enlarged is called the scale factor.

Let us take the base area of Prizm = a²

Height of the prism = h

Enlarged area = (scale factor)² * previous area

Enlarged area = 1.5²*a² = 2.25a²

Enlarged height = 1.5h

So, enlarged volume = enlarged area* enlarged height

Enlarged volume= 2.25a²*1.5h = 3.375a²h

Enlarged area/previous area = 3.375a²/a² = 3.375

Therefore, the volume of the resulting prism is 3.375 times of original volume.

To get more about dilation visit to:

https://brainly.com/question/10253650

We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.