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What is the surface area-to-volume (SAV) ratio of a cube with dimensions 2x2x2, a surface area of 24 square units, and a volume of 8 cubic units?

Answer :

Final answer:

The Surface Area to Volume ratio (SAV ratio) of a cube with a surface area of 24 units squared and a volume of 8 units cubed is 3 units⁻¹.

Explanation:

The question asks for the Surface Area to Volume ratio (SAV ratio) of a 2x2x2 cube with a given surface area (SA) and volume (V). The surface area is 24 units squared, and the volume is 8 units cubed. To find the SAV ratio, we divide the surface area by the volume.

SAV ratio = SA / V = 24 units² / 8 units³ = 3 units⁻¹.

This ratio is an important concept in various scientific fields, such as biology, where it affects the rate of diffusion in cells, and in engineering, where it impacts heat dissipation in materials.

The Surface Area to Volume (SAV) ratio of a cube is determined by dividing the surface area of the cube by its volume. To find the SAV ratio of a 2x2x2 cube with a surface area of 24 units squared and a volume of 8 units cubed, we use the formula:

SAV ratio = Surface Area / Volume

Substituting the given values:

SAV ratio = 24 / 8 = 3

Therefore, the SAV ratio of the 2x2x2 cube is 3.

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