Answered

Find the best answers to your questions at Westonci.ca, where experts and enthusiasts provide accurate, reliable information. Our platform provides a seamless experience for finding reliable answers from a knowledgeable network of professionals. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

Solid A and Solid B are similar. The surface area of Solid A is 675 m² and the surface area of
Solid B is 432 m2. If the volume of Solid B is 960 m3, find the volume of Solid A.

Sagot :

akposevictor

The Volume of solid A that is similar to solid B is: 960 × 1.25 = 1,200 m³.

What is the Surface Area and Volume of Similar Shapes?

If two solids, A and B, are given and have corresponding dimensions as a and b respectively, we would have the following:

Surface area of solid A/Surface area of solid B = a²/b²

Volume of solid A/Volume of solid B = a³/b³

Given that solid A and solid B are similar, and:

  • Surface area of solid A = 675 m²
  • Surface area of solid B = 432 m²
  • Volume of solid B = 960 m³.

Find their corresponding dimensions, a and b:

Surface area of solid A/Surface area of solid B = a²/b²

Substitute

675/432 = a²/b²

√(675/432) = a/b

1.25 = a/b

Scale factor of Solid A to Solid B is 1.25.

Multiply 1.25 by 960 to get the volume of solid A.

Volume of solid A = 960 × 1.25 = 1,200 m³.

Learn more about area and volume of similar shapes on:

https://brainly.com/question/12580764

Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.