A shoe box has a volume of 64 cubic inches and a
surface area of 160 square inches. What is the surface
area of a similar shoe box if its volume is only 27 cubic inches? Show your work or explain how you got your answer


Respuesta :

The surface area of a similar box given the ratio of volume to surface area of first box is 67.5 square inches

How to solve ratio?

Box A:

  • volume = 64 cubic inches
  • Surface area = 160 square inches

Box B:

  • volume = 27 cubic inches
  • Surface area = x

Volume : surface area

64 : 160 = 27 : x

64/160 = 27/x

64 × x = 160 × 27

64x = 4,320

x = 67.5 square inches

Therefore, the surface area of a similar box given the ratio of volume to surface area of first box is 67.5 square inches

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