Question

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.

Answer 1

80% = 6 in
100%=?


100/x 80/6 (proportional relationship)

then cross multiply

600 = 80x
600/80= 7.5

x=7.5

Answer 2

Answer: The value of length x of the box is 7.5 inch.

Explanation:

Since we have given that

Length of box = x inch

Width of box = 3 in

Height of box = 3 in

Length of white label wrap = 6 in

According to question, that white label wrapped around a rectagular box with square bases covers 80% of the lateral surface area of the box.

so, it becomes,

`\text{Area of white label wrap}=80\%\ of\ \text{Lateral surface area of rectangular box}\\\\3* 6* 4=0.8* 3* x* 4\\\\18=0.8* 12x\\\\x=(18)/(0.8* 12)\\\\x=7.5\ in`

Hence, the value of length x of the box is 7.5 inch.