To find the surface area and volume of a cube, we can use the following formulas:
- Surface Area (SA) = 6 × a²
- Volume (V) = a³
Where a is the length of an edge of the cube.
In this case, the edge length a is 4 cm. Let’s calculate each one step by step:
1. Calculate the Surface Area:
Using the surface area formula:
SA = 6 × (4 cm)² = 6 × 16 cm² = 96 cm²
So, the surface area of the cube is 96 cm².
2. Calculate the Volume:
Using the volume formula:
V = (4 cm)³ = 64 cm³
Thus, the volume of the cube is 64 cm³.
In summary, for a cube with an edge length of 4 cm, the surface area is 96 cm² and the volume is 64 cm³.