A rectangular parallelepiped was made of cubes. if the length is 7 cubes, the width is 6 cubes, and the height is 4 cubes

A rectangular parallelepiped was made of cubes. if the length is 7 cubes, the width is 6 cubes, and the height is 4 cubes. find the volume of a rectangular parallelepiped if the surface of one cube is 54 cm 2.

1) Find the length of the side of the cube:

54: 6 = 9 – since the cube has 6 sides;

9 ^ (1/2) = 3 (cm).

2) Find the length, width and height of the rectangular parallelepiped:

7 * 3 = 21 (cm) – length;

6 * 3 = 18 (cm) – width;

4 * 3 = 12 (cm) – height.

3) Find the volume of the parallelepipid:

21 * 18 * 12 = 4536 (cm ^ 3).