A rectangular prism has the length, width and height measuring 3x, 2x and 5y respectively. To form a new prism the length is doubled, the width is squared and height is tripled.. What is the ratio of the the volume of the old rectangular to that new prism?
Add an Answer
More Questions From This User See All
Answers & Comments
Answer:
RATIONAL EXPRESSIONS
Catharine A. asked • 01/28/16
a rectangular prism has a length of 2x+5 a width of x+3 and the height of x+3, find the ratio of the volume to the surface area
a rectangular prism has a length of 2x+5 a width of x+3 and the height of x+3, find the ratio of the volume to the surface area
Follow2
Add comment
More
1 Expert Answer
By:
Michael J. answered • 01/28/16
TUTOR 5 (5)
Effective High School STEM Tutor & CUNY Math Peer Leader
SEE TUTORS LIKE THIS
Let length = L
Let width = W
Let height = H
Here are your formulasa for surface area, SA, and volume, V.
V = LWH
SA = 2LW + 2HL + 2WH
Plugging in the values of the length, width, and height, we can get the surface area and volume.
V = (2x + 5)(x + 3)(x + 3)
V = (2x + 5)(x2 + 6x + 9)
V = 2x(x2 + 6x + 9) + 5(x2 + 6x + 9)
Simplify to get your volume.
SA = 2(2x + 5)(x + 3) + 2(2x + 5)(x + 3) + 2(x + 3)(x + 3)
Simplify to get your surface area.
Once you done you can get the ratio
Step-by-step explanation:
HOPE IT HELPS