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anonymous
 4 years ago
the length of a rectangle box is one inch greater than its width. the height is three times the length. the diagonal box exceeds the height by one inch. Find the volume of the box.
anonymous
 4 years ago
the length of a rectangle box is one inch greater than its width. the height is three times the length. the diagonal box exceeds the height by one inch. Find the volume of the box.

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Mertsj
 4 years ago
Best ResponseYou've already chosen the best response.1\[AB=\sqrt{w^2+(w+1)^2}=\sqrt{2w^2+2w+1)}\]

Mertsj
 4 years ago
Best ResponseYou've already chosen the best response.1\[AC=\sqrt{2w^2+2w+1+9(w+1)^2}=\sqrt{11w^2+20w+10}\]

Mertsj
 4 years ago
Best ResponseYou've already chosen the best response.1Now AC is one more than the height which is 3w+3 so AC = 3w+4

Mertsj
 4 years ago
Best ResponseYou've already chosen the best response.1\[\sqrt{11w^2+20w+10}=3w+4\]

Mertsj
 4 years ago
Best ResponseYou've already chosen the best response.1Let's square both sides.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0now im really confused lol

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0like idk what the main answer is lol

Mertsj
 4 years ago
Best ResponseYou've already chosen the best response.1That might be because we haven't found the answer yet. We have to find w based on the information they gave us. Then we will be able to find the dimensions of the box and then the volume.

Mertsj
 4 years ago
Best ResponseYou've already chosen the best response.1As i said, let's square both sides of the equation.

Mertsj
 4 years ago
Best ResponseYou've already chosen the best response.1\[11w^2+20w+10=9w^2+24w+16\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0is 16 the square root ?

Mertsj
 4 years ago
Best ResponseYou've already chosen the best response.1Discard 1 since the width cannot be negative. So w = 3. That means : dw:1328541450706:dw

Mertsj
 4 years ago
Best ResponseYou've already chosen the best response.1so the box is 3 by 4 by 12 and the volume is 3(4)(12) or 144 cubic inches
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