SOLUTION: the length of a rectangular box is twice the height, and it's height is twice the width. if the volume of the box is 1000 cubic inches, what is the height of the box in inches?

Question 654358: the length of a rectangular box is twice the height, and it's height is twice the width. if the volume of the box is 1000 cubic inches, what is the height of the box in inches?
Answer by schmidtmomto6(24) (Show Source): You can put this solution on YOUR website!
the length of a rectangular box is twice the height, (L=2xH) and it's height is twice the width (H=2xW, or H/2=W). if the volume (LxWxH) of the box is 1000 cubic inches, what is the height of the box in inches? Substitute 2H for L, and H/2 for W, ad leave H as H. Now multiply LxWxH, except substitute 2H for L and H/2 for W: 2H*H/2*H=1000 cubic in. so,multiply and reduce, then you get H cubed= 1000 inches cubed. Take the cubed root of each side of tis equation, to reduce it: that leaves H=10cm. So W=5cm, ad L=20cm.
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