Question

the volume of a sandbox shaped like a rectangular prism is 48 ft^3. the height of the sandbox is 2 feet. the width is what feet and the length is w + 2 feet. use the formula v=lwh to find the value of w

Answer 1

we know that
[volume of a box]=L*W*H
volume=48 ft³
H=2 ft
L=W+2
W=?
then
48=(W+2)*W*2----------> 48=2W²+4W---------> 2W²+4W-48=0

using a graph tool------------> to resolve the quadratic equation
see the attached figure

the solution is
W=4 ft
L=W+2--------> L=4+2--------L=6 ft

the answer is 
W=4 ft