Question

Pick a product that might be packaged in the shape of a rectangular prism.
Surface Area: S.A.=2lw+2wh+2lh
Volume: V=lwh

Choose an appropriate length, width, and height for your package so that it can fit the product you are shipping. Using these dimensions, what is the ratio of surface area to volume?

Answer 1

Let us assume the following units of measure:
Length = 10 inches
Width = 5 inches
Height = 8 inches

Surface area = 2lw + 2wh + 2lh
S.A = 2(10in * 5in) + 2(5in * 8in) + 2(10in * 8in)
S.A = 2(50in²) + 2(40in² + 2(80in²)
S.A = 100in² + 80in² + 160in²
S.A = 340 in²

Volume = lwh
V = 10 in * 5 in * 8 in
V = 400 in³

ratio of the surface area to volume?
340 in² / 400 in³ = 34 / 40 in = 17/20 in

Answer 2

Answer:

Product: Iphone 6s plus box

W= 3in L= 6in H= 3in

And then use the surface area equation ( SA = 2lw + 2wh + 2lh)

To get your volume use the equation ( V = lwh)

And then divide those two SA / V and you get your ratio

Task 1 complete!!

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