The length of a rectangular parallelepiped is 2 times its width and 10 cm less than its height. Find the volume

The length of a rectangular parallelepiped is 2 times its width and 10 cm less than its height. Find the volume of a rectangular parallelepiped if the sum of the lengths of all its edges = 160 cm.

solve the problem in terms of x
take the smaller side for x
x – width
2x – length
2x-10 – height
x + 2x + (2x-10) = 160
x + 2x + 2x-10 = 160
5x = 160 + 10
5x = 170
x = 170/5
x = 34
34cm – width
34 * 2 = 68cm – length
34 * 2-10 = 58cm – height
V = a * b * c
V = 34 * 68 * 58 = 134096 cm3



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