The length of the rectangular parallelepiped is 5 cm, width is 4 cm, and height is 6 cm.

The length of the rectangular parallelepiped is 5 cm, width is 4 cm, and height is 6 cm. Find: a) volume; b) surface area; c) the sum of the lengths of all edges of the parallelepiped.

1) Formula for finding the volume of a parallelepiped:

V = a * b * c, where a is the length, b is the width, c is the height of the parallelepiped.

Let’s define the volume:

5 * 4 * 6 = 120 (cm ^ 3) – the volume of the cube.

2) Formula for finding the surface area of a parallelepiped:

S = 2 * (ab + bc + ac).

Let’s define the surface area:

2 * (5 * 4 + 5 * 6 + 4 * 6) = 2 (20 + 30 + 24) = 2 * 74 = 148 (cm ^ 2) – the surface area of the parallelepiped.

3) Formula for finding the sum of the lengths of all edges of a parallelepiped:

L = 4 * (a + b + c).

Let’s define the sum of all edges:

4 * (5 + 4 + 6) = 4 * 15 = 60 (cm) – the sum of the lengths of all edges of the parallelepiped.