Calculate the Surface Area of a Cube with 8 cm Edges: Geometry Problem

A cube has edges measuring 8 cm.

Calculate the surface area of the cube.

Video Solution

Solution Steps

00:00 Calculate the surface area of the cube

00:03 The edge length according to the given data

00:07 We'll use the formula for calculating cube surface area

00:10 6 times the edge squared

00:13 We'll substitute the edge length and solve for the surface area

00:17 Calculate 8 squared

00:24 And this is the solution to the question

Step-by-Step Solution

To calculate the surface area of the cube, follow these steps:

Step 1: Apply the appropriate formula. The formula for the surface area of a cube is $S = 6a^2$ , where $a$ is the edge length.
Step 2: Substitute the given values into the formula. In this problem, $a = 8$ cm.
Step 3: Perform the calculation. Replace $a$ in the formula: $\begin{aligned} S = 6 \times (8 \, \text{cm})^2 = 6 \times 64 \, \text{cm}^2 = 384 \, \text{cm}^2 \end{aligned}$

Thus, the surface area of the cube is $\mathbf{384 \, \text{cm}^2}$ .

Finally, comparing the result to the given choices, choice 1 is correct: $384$ .