The rectangular parallelepiped is 12 cm long, 7 cm wide, 4 cm wide Find the abem and the sum of the areas of all its surfaces.
The volume of a rectangular parallelepiped is equal to the product of the lengths of its three dimensions.
V = a * b * h = 12 * 4 * 7 = 336 cm3.
The bases and side faces of the parallelepiped are rectangles, then the area of the base is: Sbn = a * b = 12 * 4 = 48 cm2.
The lateral surface area is equal to the product of the perimeter of the base and the height of the parallelepiped.
Sside = P * h = 2 * (a + b) * h = 2 * (12 + 4) * 7 = 224 cm2.
Then the total surface area is: Sпов = 2 * Sсн + Sbok = 2 * 48 + 224 = 320 cm2.
Answer: The volume is 336 cm3, the area is 320 cm2.
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