Question

The volume of a cubical box is 474. 552 cubic metres. Find the length of each side of the box.

Answer 1

Step-by-step explanation:

Volume of a cubical box is 474.552 cubic metres V = 83, Let ‘S’ be the side of the cube 83 = 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.Read more on Sarthaks.com - https://www.sarthaks.com/627118/the-volume-of-a-cubical-box-is-474-552-cubic-metres-find-the-length-of-each-side-of-the-box