the volume of a cubical box is 474 552 metre cube find length of each side of the box - Maths - Cubes and Cube Roots

Question

the volume of a cubical box is 474 552 metre cube find length of
each side of the box

Pooja · Accepted Answer

Given : Volume of a cube = 474 552 m3 To find : Side of the cube Solution : We know, Volume of a cube = (Side)3 â‡’ 474 552 m3 = (Side)3 â‡’ (Side)3 = 474 552 m3 $\Rightarrow s i d e = \sqrt[3]{474 552} = \sqrt[3]{\frac{474552}{1000}} = \sqrt[3]{\frac{2 \times 2 \times 2 \times 3 \times 3 \times 3 \times 13 \times 13 \times 13}{10 \times 10 \times 10}}$ Now combining three terms inside the cube root we get $= \frac{2 \times 3 \times 13}{10} = \frac{78}{10} = 7 8 m$ Hence, the side of the cube is 7 8 m

the volume of a cubical box is 474.552 metre cube. find length of each side of the box