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

| May 26, 2021 | education

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.



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