Calculate Cube Volume and Area: 8 cm Edge Length Problem

To solve this problem, we will calculate the volume and surface area of a cube with edge length 8 cm.

• Step 1: Calculate the volume of the cube using the formula $V = a^3$.

Given that the edge length $a = 8$ cm, the volume is calculated as follows:

$V = 8^3 = 8 \times 8 \times 8 = 512 \text{ cm}^3$

• Step 2: Calculate the surface area of the cube using the formula $S = 6a^2$.

Using the same edge length $a = 8$ cm, we find the surface area:

$S = 6 \times 8^2 = 6 \times (8 \times 8) = 6 \times 64 = 384 \text{ cm}^2$

Thus, the calculated volume and surface area of the cube are, respectively, 512 cm$^3$ and 384 cm$^2$.

Therefore, the correct solution to the problem, matching the given answer choices, is choice 1: $V = 512, S = 384$.