Height 30cm width 40cm length 60cm. Find the surface area of a parallelepiped in square

| September 5, 2021 | education

Height 30cm width 40cm length 60cm. Find the surface area of a parallelepiped in square meters and its volume in cubic meters

1. It is known that the volume of a parallelepiped is equal to the product of its length and width and height.

2. Let us find the volume V of the parallelepiped if the length a is 60 cm, the width b is 40 cm, and the height is c 30 cm.

60 cm * 40 cm * 30 cm = 72000 cm ^ 3.

3. The surface of a parallelepiped consists of two base rectangles and four side rectangles.

Let’s calculate the area S1 of each of the two bases.

S1 = a * b = 60 cm * 40 cm = 2400 cm ^ 2.

4. Determine the area S2 of the side faces of the parallelepiped.

(2 * a + 2 * b) * c = (120 + 80) * 30 = 6000 cm ^ 2.

5. Find out the area S of the entire surface.

S = 2 * S1 + S2 = 4800 cm ^ 2 + 6000 cm ^ 2 = 10800 cm ^ 2.

Answer: The volume of a parallelepiped is 72,000 cubic centimeters, the surface area is 10,800 square centimeters.



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