It is known that the dimensions of a rectangular parallelepiped are 50 cm, 16 cm and 10 cm.
| December 12, 2020 | education
It is known that the dimensions of a rectangular parallelepiped are 50 cm, 16 cm and 10 cm. How many cm is the edge of a cube with the same volume as that of a given rectangular parallelepiped?
Given: rectangular parallelepiped
a = 50 cm
b = 16 cm
s = 10 cm
Find: edge of a cube if Vparallelepiped = Vcube
Decision:
Vparallelepiped = abc = 50 * 16 * 10 = 8000 cm (cubed)
Vcube = 8000 cm (cube) = a (cube),
Take the cube root = 20 cm from the number 8000.
Answer: the length of the edge of the cube is 20 cm
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