Given a rectangular parallelepiped 8 cm long, 4 cm wide, 10 cm high Find: a) the surface area of the parallelepiped.

| January 5, 2021 | education

Given a rectangular parallelepiped 8 cm long, 4 cm wide, 10 cm high Find: a) the surface area of the parallelepiped. b) the sum of all the lengths of the edges of the parallelepiped. c) the volume of the parallelepiped.

By condition, a rectangular parallelepiped is given.
It is known that its length, width and height are 8 cm, 4 cm and 10 cm, respectively.
a) Calculate the total surface area of the parallelepiped:
S = 2 * (a * b + b * c + a * c) = 2 * (8 * 4 + 4 * 10 + 8 * 10) = 2 * (32 + 40 + 80) = 2 * 152 = 304 cm² …
b) Let’s calculate what the sum of the lengths of all edges of the parallelepiped is equal to:
L = 4 * (a + b + c) = 4 * (8 + 4 + 10) = 4 * 22 = 88 cm.
c) Let’s calculate what the volume of the parallelepiped is:
V = a * b * c = 8 * 4 * 10 = 320 cm³.



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