Problema Solution
The top of a rectangular box has an area of 60 cm^2. The sides have areas of 40 cm^2 and 96cm^2. What are the dimensions of the box?
The dimensions of the box are ____cm.
(use a commma to separate answers as needed)
Answer provided by our tutors
let l,b and h are length width and height
now area of top of rectangular box= l*b=60----(1)
and two sides area l*h=96------(2)
and b*h=40------------(3)
divide eq(1) and (2)
b/h=60/96=0.625
=> b=0.625h
thus put in Eq(3)
0.625h*h=40
=> h^2=64
=> h=8cm
b=0.625h=5cm
now put h in (3)
l*h=96
=> l=96/h=12cm
hence dimension are 8cm,5cm,12cm