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Question

The volume of a cubical box is 474.552 cubic meters. Find the length of each side of the box. 

  1. 7.8 m
  2. 9.2 m
  3. 8.3 m
  4. 6.9 m


Solution

The correct option is A 7.8 m
Let, the length of one side = x
Volume of the cube = x3
Given, volume of the cubical box is 474.552 m3
x3=474.552m3
x = 3474.552
        =  34745521000

 

Prime factorisation of 474552
247455222372762118638359319319773365911321971316913131

Prime factorisation of 1000:
21000250022505125525551

x=32×2×2×3×3×3×13×13×132×2×2×5×5×5
        =333×13353    [By cancelling common terms]
        =3×135
        =7.8 m
Length of the cubical box =7.8 m

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