# One edge of a rectangular parallelepiped is 7 cm. The second edge is 1 cm longer.

**One edge of a rectangular parallelepiped is 7 cm. The second edge is 1 cm longer. The volume of the parallelepiped is 105 cm3. Find the surface area of a parallelepiped.**

Given:

The volume of the parallelepiped is 105 cm3.

The first edge of this figure is 7 cm.

The second rib is 1 cm longer than the first.

Let’s calculate the size of the second edge:

7 + 1 = 8 cm.

Let’s find the length of the third edge:

105: 7: 8 = 1.875 cm.

Let’s find the area of one side of the figure:

S1 = 7 * 8 = 56 cm2.

Let’s calculate the area of the second side:

S2 = 7 * 1.875 = 13.125 cm2.

Let’s find the area of the third side:

S3 = 8 * 1.875 = 15 cm2.

Find the area of the entire surface of the figure:

56 + 56 + 15 + 15 + 13.125 + 13.125 = 168.25 cm2.

Answer: 168.25 cm2.