Find the surface area of the cube and the length of all edges if the volume is 64 cm3.

First, find the length of one edge. We have volume. To find the volume, you need to multiply the height by the length and by the width. Because this is a cube, all these measurements are equal, and to find the size of the edge, you need to find the cube root of the volume indicator:

The cubic root of 64 = 8 (centimeters) is the edge of a cube.

The cube has 6 faces, we find the area of ​​one and multiply by 6:

8 * 8 = 64 (cm2) – the area of ​​one face.

Surface area:

64 * 6 = 60 * 6 + 4 * 6 = 360 + 24 = 384 (cm2)

In total, the cube has 12 edges, which means the length of all the edges:

12 * 8 = 8 * 10 + 8 * 2 = 80 = 16 = 96 (cm).

Answer: the length of all ribs is 96 cm, and the surface area is 384 cm2.