What is the surface area to volume ratio of a cube with a with of 4 cm.
I think its 1.5:1
Since the terms of your ratio do not have the same units, the units should be included
e.g ratio of surface area : volume
= 1.5 cm^2 : 1 cm^3
To calculate the surface area to volume ratio of a cube, we need to find the surface area and the volume of the cube.
The surface area of a cube is given by the formula: 6a^2, where "a" is the length of the side of the cube.
In this case, the side length (width) of the cube is given as 4 cm. So, the surface area of the cube is: 6(4^2) = 6(16) = 96 cm^2.
The volume of a cube is given by the formula: a^3, where "a" is the length of the side of the cube.
In this case, the side length (width) of the cube is given as 4 cm. So, the volume of the cube is: 4^3 = 64 cm^3.
Now, to find the surface area to volume ratio, we divide the surface area by the volume:
Surface area to volume ratio = Surface area / Volume
Surface area to volume ratio = 96 cm^2 / 64 cm^3
Surface area to volume ratio ≈ 1.5 cm^-1
Therefore, the surface area to volume ratio of the cube with a width of 4 cm is approximately 1.5 cm^-1.
To calculate the surface area to volume ratio of a cube, we first need to calculate the surface area and the volume of the cube.
The surface area of a cube is given by the formula:
Surface Area = 6 * (side length)^2
So, in this case, the surface area of the cube would be:
Surface Area = 6 * (4 cm)^2 = 6 * 16 cm^2 = 96 cm^2
The volume of a cube is given by the formula:
Volume = (side length)^3
So, in this case, the volume of the cube would be:
Volume = (4 cm)^3 = 64 cm^3
Now, to find the surface area to volume ratio, we divide the surface area by the volume:
Surface Area to Volume Ratio = Surface Area / Volume
In this case, the ratio would be:
Surface Area to Volume Ratio = 96 cm^2 / 64 cm^3 = 1.5 cm^2/cm^3
So, the surface area to volume ratio of the given cube is 1.5 cm^2/cm^3, not 1.5:1.