What is the surface area of a cube with a volume of 81cm3?
125 cubic inches
nope. in the first place, area is in cm^2, not cm^3
volume=81 means side is ∛81 = 3∛3
area is 6s^2 = 6(3∛3)^2 = 6*9*∛9 = 54∛9
To find the surface area of a cube, we need to know the length of one of its sides. Since the volume of the cube is given as 81 cm^3, we can find the length of each side by taking the cube root of the volume.
Cube root of 81 = ∛81 = 4.3267487109 cm (rounded to the nearest decimal place)
Now that we know the length of one side, we can calculate the surface area by multiplying the length of one side by itself and then multiplying by 6 (since a cube has 6 equal sides).
Surface area = (side length)^2 * 6
= 4.3267487109^2 * 6
= 18.6675 * 6
= 112.005 cm^2
Therefore, the surface area of the cube is 112.005 cm^2.
To find the surface area of a cube, you need to know the length of one side of the cube. Given that the volume of the cube is 81 cm3, we can use this information to find the length of one side.
The formula for the volume of a cube is V = s^3, where V represents the volume and s represents the length of one side.
In this case, the volume is given as 81 cm3. So, we can write the equation as:
81 = s^3
To find the length of one side, we need to take the cube root of both sides of the equation:
∛81 = ∛(s^3)
This simplifies to:
3 = s
Therefore, the length of one side of the cube is 3 cm.
Now that we have the length of one side (s = 3 cm), we can find the surface area of the cube. The formula for the surface area of a cube is given by A = 6s^2, where A represents the surface area and s represents the length of one side.
Using the given value of s = 3 cm, we substitute it into the formula:
A = 6(3^2)
A = 6(9)
A = 54 cm^2
So, the surface area of the cube with a volume of 81 cm3 is 54 cm2.