Answer:
Solution given:
For white label wrapped box
- length[l]=6 in
- breadth[b]=3 in.
- height [h]=3 inch
for box
- length[l]=x
- breadth[b]=3 in
- height [h]=3 inch
height [h]=3 inchfor box
To find the value of x:
- since x
- is 80% of the lateral surface area of white label wrapped box.
Process:
- find the lateral surface area
- and
- find 80% of lateral surface area
- equate this and you getx.
Step :
lateral surface area of wrapped box=perimeter of base *height
Substituting value
again:
lateral surface area of box=perimeter of base *height
Substituting value
since
lateral surface area of wrapped box =80% of
lateral surface area of box
66=80% of (6x+18)
66=80/100*(6x+18)
66*100/80=6x+18
165/2=6x+18
165=12x+36
165-36=12x
12x=129
x=129/12
x=10.75
The value of x is 10.75in.
