Find the surface area of a cube whose edge is 8 cm. Find the sum of the lengths of all its edges.

The formula for finding the surface area of a cube:

S = 6 × a ^ 2, where a is the edge of the cube.

Solution:

1) Find the surface area of the cube:

S = 6 × 8 ^ 2 = 6 × 8 × 8 = 384 (see sq.) – the surface area of the cube.

The cube has 12 edges. So the formula for the sum of the lengths of the edges of the cube is:

12 × a, where a is the edge of the cube.

Solution:

2) 12 × 8 = 96 (cm) – the sum of the lengths of the edges of the cube.

Answer: the surface area of the cube is 384 cm2, the sum of the lengths of the edges of the cube is 96 cm.