SOLUTION: The length of a rectangular solid is 7. The width of the solid is 2 more than the height. The volume of the solid is 105. Find the width and the height of the solid.

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Question 312563: The length of a rectangular solid is 7. The width of the solid is 2 more than the height. The volume of the solid is 105. Find the width and the height of the solid.
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
W=H+2
V=LWH
105=7(H+2)H
105=7(H^2+2H)
105=7H^2+14H
7H^2+14H-105=0
7(H^2+2H-15)=0
7(H+5)(H-3)=0
H-3=0
H=3 ANS. FOR THE HEIGHT.
W=3+2=5 ANS FOR THE WIDTH.
PROOF:
105=7*5*3
105=105