Question

The volume of the cube is 2.744 cubic centimetres. Find the length of the side of the cube

Answer 1

Volume of a cube = length x length x length

.

Given Volume = 2.744 cm³ , find length:

2.744 = length x length x length

2.744 = length³

length³ = 2.744

length = ∛2.744

length = 1.4

.

Answer: The length is 1.4 cm

Answer 2

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VOLUME :

The volume is the amount of space that a shape takes up in three dimensions.

Volume of a CUBE :

For a cube , since

Length = Breadth = Height

Volume = l × l × l = l³ cubic units

Given ,

Volume = 2.774 cubic centimetres

One side or edge of a cube = ³√volume i.e. cube root of the volume

$\sqrt[3]{2.774} \\ \\ = \sqrt[3] \frac{2774}{1000} \\ \\ = \frac{14}{10} \\ \\ = \: 1.4 \: centimetres$


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