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31 August, 17:16

8.

Using 27 small cubes, produce a structure that has a large surface area but that is

at most 5 cm long in any one dimension.

SA=weh

V=Bh

What is the surface area of the structure?

What is the volume of the structure?

What is the surface area to volume ratio?

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Answers (1)
  1. 31 August, 18:29
    0
    1. the surface area of a cubic structure is = 6 x s x s = 6 x 5 x 5 = 150cm²

    2. volume of a cubic structure = s³ = 5x5x5 = 125cm³

    3. surface area to volume ratio = Surface area / volume

    = 150/125 = 1.2

    Explanation:

    using 27 small cubes to form a structure will be arrange in 3 cubes (length) by 3 cubes (bredth) by 3 cubes (height)

    a cubes has the same side all through,

    A cubical structure having 5cm length in any of its sides

    s = 5cm (length of one side of the structure)

    1. the surface area of a cubic structure is = 6 x s x s = 6 x 5 x 5 = 150cm²

    2. volume of a cubic structure = s³ = 5x5x5 = 125cm³

    3. surface area to volume ratio = Surface area / volume

    = 150/125 = 1.2
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