The volume of a cubical box is 474.552 cubic meters. Then the length of the each side of the box is? if you give the correct solution I will mark you as the brainliest.
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The length of the side is 7.8 m.
Volume of a cubical box is 474.552 cubic metres
V = 83,
Let ‘S’ be the side of the cube
8^3= 474.552 cubic metres
8 = ∛474.552
= ∛ (474552/1000)
474552 = 2×2×2×3×3×3×13×13×13
474552 = (2×2×2) × (3×3×3) × (13×13×13) Now, ∛474.552 = ∛ ((2×2×2) × (3×3×3) × (13×13×13))
= 2×3×13 = 78
Also, ∛1000 = ∛ (10×10×10) = ∛(10)3 = 10
So now let us equate in the above equation we get, 8 = ∛ (474552/1000) = 78/10 = 7.8
Hence, length of the side is 7.8m.
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