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

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 × 6SA = 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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