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A white label wrapped around a rectangular box with square bases covers 80 percent of the lateral surface area of the box. Find the length x of the box.

A White Label Wrapped Around A Rectangular Box With Square Bases Covers 80 Percent Of The Lateral Surface Area Of The Box Find The Length X Of The Box class=

Sagot :

Cairdeidn

Answer:

x=6 in

Step-by-step explanation:

The label covers four faces, and has a surface area of 6x3 on each face. 6x3=18, and 4x18=72, so the total surface area the label covers is 72in².

The label covers 80%, so 72in²=80%.

Therefore 0.9in²=1%

Therefore 90in²=100%

Now we know the total surface area of the box, 90in².

Total surface area = 2(area of square side) + 4(area of rectangular side)

90 = 2(3*3) +4(3x)

90=18+12x

12x=72

x=6 in

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