Question

create a speaker box with a volume of 14400 cubic inches. The box will be used for speakers of various sizes. The speaker box must have a square base and minimal surface area ( prior to cutting holes for the speakers ). Find the box’s dimensions. Your must construct a diagram [ V = LWH ]

Answer 1

Voluem of the Box

The speaker box have a square base

(L=W --------(1))

-----------------------------(2)

Surface Area of the box

Differentiating with respect to L

For critical points

Inches

From equation (1)

Inches

From equation (2)

Inches

Inches^2