Find the volume of a rectangular parallelepiped whose height is 5 cm, the length is 2 cm

Find the volume of a rectangular parallelepiped whose height is 5 cm, the length is 2 cm more than the width, and the perimeter of the base is 36 m.

P = 36 cm – perimeter

V = h * S, V is the volume of the rectangular parallelepiped, S is the area of the base of the rectangular parallelepiped

S = a * b

a = b + 2

P = (a + b) * 2

36 = (b + 2 + b) * 2

36 = (2b + 2) * 2

36 = 4b + 4

4b = 36-4

4b = 32

b = 32/4

b = 8

a = 8 + 2; a = 10

S = 10 * 8; S = 80

V = 5 * 80; V = 400 cm ^ 3



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