A box with a square base has length plus girth of 104 in Gir

A box with a square base has length plus girth of 104 in. (Girth is the distance \"around\" the box.) What is the length of the box if its volume is 2100 in³?

Solution

volume of the box will be:

V = L*B*H = 2100 in^3

Also given that:

B = H = b

L = l

b^2*l = 2100 in^3

&

4b + l = 104 in

solving both equations:

b = 5 in

& length, l = 84 in