Polynomial Geometry Question?
I was wondering if anybody could help me with this?
A rectangular prism has a volume of 1050cm^3. If the height of the prism is 3 cm less the width of the base, and the length of the base is 5 cm grater than the width of the base, find the dimensions of the rectangular prism. Solve Algebraically.
- KrishnamurthyLv 72 months agoFavorite Answer
A rectangular prism has a volume of 1050 cm^3.
If the height of the prism is 3 cm less than the width of the base,
and the length of the base is 5 cm greater than the width of the base,
find the dimensions of the rectangular prism.
If the width of the base of the prism is 'w'
its length is '(w + 4)', and its height is '(w - 3)'.
The volume of the prism is -12 w + w^2 + w^3
w^3 + w^2 - 12 w - 1050 = 0
The width of the prism ≈ 10.222
The length of the prism ≈ 14.222
the height of the prism w ≈ 7.222
Three consecutive integers with a product of -336:
(x - 1) × x × (x + 1) = -336
x^3 - x + 336 = 0
(x + 7) (x^2 - 7 x + 48) = 0
-8, -7, and -6 are the three consecutive integers.
- DavidLv 72 months ago
Let width be x the height be x-3 and its length be x+5
Volume of rectangular prism (x)(x-3)(x+5) = 1050cm^3
Solving the equation: x = 10
Dimensions: width = 10 cm, height = 7 cm and length = 15 cm
Check: 10*7*15 = 1050 cubic cm