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?
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A rectangular prism has the length, width and height measuring 3x, 2x and 5y respectively. To form a new prism the length
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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
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Michael J. answered • 01/28/16
TUTOR 5 (5)
Effective High School STEM Tutor & CUNY Math Peer Leader
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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:
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