Answer: height (h) = 1.59ft
length (x) = 1.59ft
width = 1.59ft
Total cost is $25.28 at these dimensions
Step-by-step explanation:
The volume of a box is given by multiplying its length by its width and height.
If x = length
h = height
it's safe to assume the box is a cube (having a square bottom): length = height = width
Volume = length x width x height = x³
Volume = x³
4 ft² = x³
x = 4^(1/3)
x = 1.587 =1.59ft approximately
Area of square bottom = 1.59 x 1.59 = 2.528ft²
Cost of square bottom = 2.528 x $7 (per ft²) = $17.698
Area of side = 2.528ft²
Cost of side = 2.528 x $3 (per ft²) = $7.584
Total cost = $17.698 + $7.584 = $25.28 to two decimal places.