Answer :

Cube that has largest surface area to volume ratio is cube C.

What is cube?

A cube is a three-dimensional solid object bounded by six square faces, with three meeting at each vertex.

Given,

cube A = 3×3×3

length of side = 3

cube B = 2×2×2

length of side = 2

cube C = 1×1×1

length of side = 1

If a is side of cube then

Volume of cube = a³

Surface area of cube = a²

Ratio of surface area to volume = a²/a³ = 1/a

For cube A, Ratio of surface area to volume = 1/3

For cube B, Ratio of surface area to volume = 1/2

For cube C, Ratio of surface area to volume = 1

Thus, Ratio of surface area to volume in Cube C is larger than Cube A and Cube B.

Hence, Cube C has the largest surface area to volume ratio.

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Rewritten by : Barada

Answer:

3x3x3

Step-by-step explanation:

The surface area of a cube is defined by [tex]6x^2[/tex], where x is the side length. The volume of a cube is defined by [tex]x^3[/tex], where x is the side length.

Test each of the possible answers and find their ratios:

[tex]6*3^2 / 3^3=6\\6*2^2 / 2^3=3\\6*1^2 / 1^3=2[/tex]

Therefore, 3x3x3 has the largest surface area to volume ratio.