A cube has a volume half the volume of a rectangular parallelepiped find the sum of all faces

A cube has a volume half the volume of a rectangular parallelepiped find the sum of all faces if the parallelepiped is measured 3,3,6.

1) Volume is a numerical characteristic of the space occupied by the body, it is calculated by the formula:

V = a * b * c. Let’s find this value for a parallelepiped, the dimensions of which are 3, 3 and 6 cm:

V = 3 * 3 * 6 = 54 cm³.

2) Since its volume is 2 times the cube, we find its value:

V cube = 54: 2 = 27 cm³.

3) A cube is a regular polyhedron, each face of which is represented by a square, and the edges are equal.

Its volume is calculated by the formula:

V = a³, hence a = ³√27 = 3 cm.

4) Its surface area:

S = 6a² = 6 * 3² = 54 cm².

5) And the sum of the lengths of all edges corresponds to:

L = 12a = 12 * 3 = 36 cm.