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28 September, 22:11

1. The formula for calculating the surface area of a cube is: SA = length * width * number of sides (6)

Therefore, the surface area of a cube that is 1 cm on a side is 1 cm * 1 cm * 6 sides = 6 cm2

2. The formula for calculating the volume of a cube is:

V = length * width * height

Therefore, the volume of a cube that is 1 cm on each side is 1 cm * 1 cm * 1 cm = 1 cm3

3. The surface area to volume ratio is:

SA : V

For a cube that is 1 cm on a side, SA/V ratio is 6 : 1 = 6.

Calculate the SA/V ratio for a cube that is 3 cm on each side.

Calculate the SA/V ratio for a cube that is 3 cm on each side.

1.5

2

3

6

+4
Answers (1)
  1. 28 September, 22:38
    0
    2 (second option)

    Explanation:

    The question aks to calculate the SA/V ratio for a cube that is 3 cm on each side.

    1. Calculate SA

    The surface area of a cube, SA, is 6 times the area of a face.

    The area of a face is length * width.

    Then:

    SA = length * width * 6 SA = 3cm * 3cm * 6 = 54cm²

    2. Calculate V

    The volume, V, of a cube is:

    V = length * width * height

    Then:

    V = 3 cm * 3cm * 3cm = 27cm³

    3. Calculate the SA/V ratio

    Divide SA by V:

    SA/V = 54cm² / 27cm³ = 2 cm²/cm³

    That is the second option: 2 ← answer
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