BlueGhirahim
Answered

Discover the best answers at Westonci.ca, where experts share their insights and knowledge with you. Our platform connects you with professionals ready to provide precise answers to all your questions in various areas of expertise. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

If the​ length, width, and height of a cube all change by a factor of 7​, what happens to the volume of the​ cube?

The length is ___ times as large.

Sagot :

sqdancefan

9514 1404 393

Answer:

  The volume is 343 times as large.

  The length is 7 times as large.

Step-by-step explanation:

If the original cube has side length s, its volume is given by ...

  V = s³

When the side length is changed by a factor of 7, the new volume is ...

  V = (7s)³ = 7³×s³ = 343s³

The volume of the cube changes by a factor of 7³ = 343.

__

The problem statement tells you the length is 7 times as large.

We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.