Problema Solution
a jewelry box is designed that its length is twice its width and its depth is two inches less than its width. What is the box's length if the volume of the box is 64 cubic inches?
Answer provided by our tutors
Let
x = the width (in inches), x>0
2x = the length
x - 2 = the depth
V = 64 in^3
The volume of the box is:
V = width*length*depth
V = x*2x*(x - 2)
Now we can write:
x*2x*(x - 2) = 64
........
click here to see the equation solved for x
........
x = 4 in
2x = 2*4 = 8 in
The length of the box is 8 inches.