Question

Determine the surface-area-to-volume ratio for a rectangular prism with the given dimension...
6. 5x1x1
7.10x1x1
8.5x5x5
9.10x10x10

Answer 1

Surface area of rectangular prism = 2(lh + lw + wh)

Volume of rectangular prism = lwh

6. Let l = 5, w = 1 and h= 1
SA = 2(5 + 5+ 1) = 22
V = 5
SA/V = 22/5

7. Let l = 10, w = 1 and h= 1
SA = 2(10 + 10+ 1) = 42
V = 10
SA/V = 42/10 = 21/5

8. Let l = 5, w = 5 and h= 5
SA = 2(25 + 25+ 25) = 150
V = 125
SA/V = 150/125 = 6/5

9. Let l = 10, w = 10 and h= 10
SA = 2(100 + 100+ 100) = 600
V = 1000
SA/V = 600/1000 = 3/5

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Answer 2

thank you @JMark