Find the surface area of a cube whose volume is 27.Choices:- 32 54 96 108
Question
Find the surface area of a cube whose volume is 27.Choices:- 32 54 96 108
Solution 1
To find the surface area of a cube, we first need to find the length of one side. We know that the volume of a cube is given by the formula V = s^3, where s is the length of a side.
Given that the volume V is 27, we can set up the equation 27 = s^3. Solving for s, we find that s = 3 (since 3^3 = 27).
The surface area A of a cube is given by the formula A = 6s^2. Substituting s = 3 into this formula, we get A = 6 * 3^2 = 6 * 9 = 54.
So, the surface area of the cube is 54. The correct choice is 54.
Solution 2
To find the surface area of a cube, we first need to find the length of one side. We know that the volume of a cube is given by the formula V = s^3, where s is the length of a side.
Given that the volume V is 27, we can set up the equation:
27 = s^3
Taking the cube root of both sides gives us s = 3.
The surface area A of a cube is given by the formula A = 6s^2. Substituting s = 3 into this formula gives us:
A = 6 * 3^2 = 6 * 9 = 54
So, the surface area of the cube is 54. The correct choice is 54.
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