The length of the rectangular parallelepiped is 4 cm, the width is 3 cm, and the height is 2 cm.
| September 12, 2021 | education
The length of the rectangular parallelepiped is 4 cm, the width is 3 cm, and the height is 2 cm. Find: a) the area of each face of the parallelepiped; b) the sum of the areas of all faces (total surface area).
A rectangular parallelepiped has six faces. Opposite faces are equal to each other.
1. Determine what is the area of each face of the parallelepiped.
a) 4 * 3 = 12 cm ^ 2.
b) 4 * 2 = 8 cm ^ 2.
c) 3 * 2 = 6 cm ^ 2.
2. Let’s calculate the sum of the areas of all faces.
2 * (12 + 8 + 6) = 2 * 26 = 52 cm ^ 2.
Answer: The area of each face is 12 cm ^ 2., 12 cm ^ 2., 8 cm ^ 2., 8 cm ^ 2., 6 cm ^ 2., 6 cm ^ 2. The sum of the areas of all faces of a rectangular parallelepiped is 52 cm ^ 2.
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