SOLUTION: The width of a box is 200 cm less than the length. THe height is 100 cm less than the length. The volume of the box is 20 m^3. Write a polynomial function to describe the volume
Algebra.Com
Question 821135: The width of a box is 200 cm less than the length. THe height is 100 cm less than the length. The volume of the box is 20 m^3. Write a polynomial function to describe the volume. Find the dimensions of the box.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
The width of a box is 200 cm less than the length.
Change 200 cm to 2 meter
W = L-2
:
THe height is 100 cm less than the length.
Change 100 cm to 1 meter
H = L-1
:
The volume of the box is 20 m^3.
L * W * H = 20
:
Write a polynomial function to describe the volume.
Replace W and H
f(L) = L * (L-2) * (L-1)
f(L) = L(L^2 - 3L + 2)
f(L) = L^3 - 3L^2 + 2L
:
Find the dimensions of the box.
L^3 - 3L^2 + 2L = 20
L^3 - 3L^2 + 2L - 20 = 0
Graphically
L = 3.84 m (384cm), you can find W and H
RELATED QUESTIONS
The length of a rectangular shaped box is 12 cm more than the height, and the width is 3... (answered by mananth)
The Height of a box is 2 cm less than the width. the length is 3 less than the width. the (answered by LinnW)
cookies are packaged in boxes whose width is 2 cm less than the length, and the height is (answered by josmiceli,MathTherapy)
The width of a box is 200cm less than the length. The height is 100 cm less than the... (answered by jsmallt9)
The width of a box is 5 cm. The length of the box is two times the width. The height... (answered by ewatrrr)
The width of a box is 12 cm. The length of the box is two times the width. The height is... (answered by solver91311)
The width of a box is 3 feet less than the length. The height is 4 feet less than the... (answered by Gogonati)
the width of a box is 2 feet less than the length, the height is 8 feet greater than the... (answered by mananth)
What is the volume of a box which measures 2 cm in width,10 cm in height and 20 cm in... (answered by rameens_99)