SOLUTION: The volume of the smaller rectangular box is one-third the volume of the larger box. What is the value of X ?
The larger box has a volume of (x)*(x+2)*(x+1)
The smaller box is
Algebra.Com
Question 802981: The volume of the smaller rectangular box is one-third the volume of the larger box. What is the value of X ?
The larger box has a volume of (x)*(x+2)*(x+1)
The smaller box is just shown in a figure with its length,width and height labeled as "x".
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
The volume of the smaller rectangular box is one-third the volume of the larger box. What is the value of X ?
The larger box has a volume of (x)*(x+2)*(x+1)
The smaller box is just shown in a figure with its length,width and height = x
then
x^3 = vol of the small box
:
x^3 = *x*(x+2)*(x+1)
get rid of the fraction multiply both sides by 3
3x^3 = x(x^2 + 3x + 2)
Divide both sides by x
3x^2 = x^2 + 3x + 2
Arrange as a quadratic equation on the left
3x^2 - x^2 - 3x - 2 = 0
2x^2 - 3x - 2 = 0
Factors to
(2x+1)(x-2) = 0
the positive solution is what we want here
x = 2
:
:
See if that works
2^3 = *2*4*3
8 = *24
RELATED QUESTIONS
the volumes of two boxes are in the ratio 3:8. if the volume of the larger box is 375 cm3 (answered by richwmiller)
This is the question:
A small box is placed inside a larger box. The dimensions of... (answered by jim_thompson5910)
If a cube box with edges 1 foot long is stored in a cube shaped box with edges 2 ft long. (answered by ankor@dixie-net.com)
Please show your work I have a final coming upComparing Volumes Suppose you have two... (answered by Boreal,josgarithmetic)
the volume of a box is 187.8 cm3 find the volume of a larger, similarly shaped box that... (answered by ikleyn)
if the volume of the smaller pyramid is 9in3 whats the volume of the larger... (answered by Alan3354)
What is the volume of a 20 cm x 30 cm 40 cm rectangular box ?
(answered by stanbon)
What is the volume of a 20 cm x 30 cm 40 cm rectangular box... (answered by nerdybill)
The area of the base of the rectangular box is 120 cm2 and the height of the box is 5... (answered by greenestamps)