SOLUTION: At the present time, a nutrition bar in the shape of a rectangular solid measures 0.75 inch by 1 inch by 5 inches. To reduce costs the manufacturer has decided to decrease each of
Algebra.Com
Question 147511: At the present time, a nutrition bar in the shape of a rectangular solid measures 0.75 inch by 1 inch by 5 inches. To reduce costs the manufacturer has decided to decrease each of the dimensions of the nutrition bar by x inches. What value of x, rounded to the nearest thousandth of an inch, will produce a new nutrition bar with a volume that is 0.75 cu in less than the present bar's volume?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
At the present time, a nutrition bar in the shape of a rectangular solid measures 0.75 inch by 1 inch by 5 inches.
Original volume: 0.75*1*5 = 15/4 cu. in.
------------------------------------------------
To reduce costs the manufacturer has decided to decrease each of the dimensions of the nutrition bar by x inches.
New volume: (0.75-x)(1-x)(5-x) cu. in.
------------------------------------------------
What value of x, rounded to the nearest thousandth of an inch, will produce a new nutrition bar with a volume that is 0.75 cu in less than the present bar's volume?
--
EQUATION:
new-old = -0.75 cu in
(0.75-x)(1-x)(5-x)-(15/4)= -(3/4)
(0.75-x)(1-x)(5-x)-3 =0
---------
I graphed the left side and the right side seperately and
found the point of intersection: x = 0.08388499..
--------------
Cheers,
Stan H.
RELATED QUESTIONS
A chocolate company has a new candy bar in the shape of a prism whose base is a 1 inch... (answered by ikleyn)
A rectangular window measures 54 inches by 24 inches. There is an a = 14-inch wiper blade (answered by math-vortex)
A stick of butter measures 5 inches by 1 inch by 1 inch. What is the volume of the box... (answered by ewatrrr)
a rectangular aquarium measures 21 inches long by 11 inches wide by 18 inches tall. if... (answered by simranb)
A blueprint has a scale where 1 inch represents 5 feet. Find the dimensions of a... (answered by solver91311)
a rectangular window measures 54 inches by 24 inches. There is a 17 inch wiper blade... (answered by stanbon)
1. Discuss the following as clearly and concretely as you can, illustrating with... (answered by ikleyn)
your company wants to buy an advertisement in a magazine advertisements are sold by the... (answered by josmiceli)
A 5 inch by 8 inch rectangular piece of paper can be rolled up to form either of two... (answered by Cromlix,ikleyn)