Question

The length of a rectangular prism is 5 more than twice the width w.
The volume of the prism is 2w³ + 7w² + 5w. What is a simplified expression
for the height of the prism?

Answer 1

Answer:

Simplified expression for the height of the rectangular prism is (w+1)

Step-by-step explanation:

Volume of rectangular prism = length x width x height = 2w^{3} + 7w^{2} + 5w

Length = 2w+5 Width = w and Height = h (Let)

=> 2w^{3} + 7w^{2} + 5w = (2w+5)wh

=> 2w^{2} + 7w + 5 = (2w+5)h

=> (2w+5)(w+1)=(2w+5)h

=> h = (w+1)

Reference : https://brainly.com/question/21459981?referrer=searchResults

Answer 2

Answer:

Simplified expression for the height of the rectangular prism is (w+1)

Step-by-step explanation:

Volume of rectangular prism = length x width x height = 2w^{3} + 7w^{2} + 5w

Length = 2w+5 Width = w and Height = h (Let)

=> 2w^{3} + 7w^{2} + 5w = (2w+5)wh

=> 2w^{2} + 7w + 5 = (2w+5)h

=> (2w+5)(w+1)=(2w+5)h

=> h = (w+1)