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

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

Step-by-step 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,

$\text{Area of white label wrap}=80\%\ of\ \text{Lateral surface area of rectangular box}\\\\3\times 6\times 4=0.8\times 3\times x\times 4\\\\18=0.8\times 12x\\\\x=\frac{18}{0.8\times 12}\\\\x=7.5\ in$

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

Answer 2

80% = 6 in
100%=?


100/x 80/6 (proportional relationship)

then cross multiply

600 = 80x
600/80= 7.5

x=7.5