Question

un rezervor in forma de cub are lungimea muchiei 2,(3)^10 dm.Afla cati litri de apa intra in rezervor.

Answer 1

l = [2,(3)]¹⁰ dm

2,(3) = (23-2)/9 = 21/9 = 7/3

2,3¹⁰ = 7¹⁰/3¹⁰

V = l³ = 7³⁰/3³⁰ dm³ = 7³⁰/3³⁰ litri = (343/27)¹⁰ = [12,(703)]¹⁰ litri

Answer 2

V = l²

2,(3)^10 = [(23-2)/9]^10 = (21/9)^10 = (7/3)^10

V = [(7/3)^10]³ = (7/3)^30 = 2,(3)^30 dm³ = 2,(3)^30 litri de apa intra in rezervor