Question

what is the surface area of a cube given that the volume of the cube is 64. 64 96 128 192

Explanation:

Step1: Find the side length of the cube

The volume formula of a cube is \(V = a^{3}\) (where \(a\) is the side - length). Given \(V = 64\), then \(a^{3}=64\), so \(a=\sqrt[3]{64}=4\).

Step2: Calculate the surface area of the cube

The surface - area formula of a cube is \(S = 6a^{2}\). Substitute \(a = 4\) into the formula, we get \(S=6\times4^{2}=6\times16 = 96\).

Answer:

B. 96