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Anika [276]
3 years ago
5

Is it possible to find a value of $x$ so that the value of the surface area (in square inches) is equal to the value of the volu

me (in cubic inches)?
If possible, what is the value of $x$ ?
Write an equation to justify your answer.

Mathematics
1 answer:
Annette [7]3 years ago
7 0

The box has volume

11 in × 3 in × <em>x</em> in = 33<em>x</em> in³

and surface area

2 (11 in × 3 in + 11 in × <em>x</em> in + 3 in × <em>x</em> in) = (66 + 28<em>x</em>) in²

The volume and area have the same value if

33<em>x</em> = 66 + 28<em>x</em>

Solve this equation for <em>x</em> :

33<em>x</em> - 28<em>x</em> = 66

5<em>x</em> = 66

<em>x</em> = 66/5 = 13.2

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