What are the surface area, volume, surface area:volume, and distance of diffusion for the following dimensions:
1 cm x 1 cm x 1 cm
2 cm x 2 cm x 2 cm
1 cm x 1 cm x 6 cm
To find the surface area of an object, you need to calculate the total area of all its external faces. The formula for the surface area of a rectangular prism is:
Surface Area = 2lw + 2lh + 2wh
where l represents the length, w represents the width, and h represents the height.
Similarly, to find the volume of a rectangular prism, you can use the formula:
Volume = lwh
Now let's calculate the surface area, volume, surface area to volume ratio, and distance of diffusion for each dimension:
1 cm x 1 cm x 1 cm:
Since all sides are equal, the length, width, and height are all 1 cm.
Surface Area = 2(1)(1) + 2(1)(1) + 2(1)(1) = 6 cm²
Volume = (1)(1)(1) = 1 cm³
Surface Area to Volume Ratio = Surface Area / Volume = 6 cm² / 1 cm³ = 6 cm⁻²
The distance of diffusion would depend on the context and what is diffusing. Please provide more information for an accurate answer.
2 cm x 2 cm x 2 cm:
Here, the length, width, and height are all 2 cm.
Surface Area = 2(2)(2) + 2(2)(2) + 2(2)(2) = 24 cm²
Volume = (2)(2)(2) = 8 cm³
Surface Area to Volume Ratio = Surface Area / Volume = 24 cm² / 8 cm³ = 3 cm⁻²
The distance of diffusion would still depend on additional information.
1 cm x 1 cm x 6 cm:
The length and width are both 1 cm, and the height is 6 cm.
Surface Area = 2(1)(1) + 2(1)(6) + 2(1)(6) = 22 cm²
Volume = (1)(1)(6) = 6 cm³
Surface Area to Volume Ratio = Surface Area / Volume = 22 cm² / 6 cm³ = 3.67 cm⁻²
Just like before, the distance of diffusion would require more information.
It's important to note that these calculations are based solely on the given dimensions of the rectangular prisms and don't consider any specific contexts or applications.