Question

if the volume of a cube is 64 cubic meter .then the length of the cube is​

Answer 1

Given:

The volume of a cube is 64 cubic meter

To find:

The length of the cube is​

Solution:

Let "a" meter represents the length of each side of the cube.

We know,

$\boxed{\bold{Volume\:of\:a\:cube\: = side^3 }}$

But we have,

The volume of the cube = 64 m³

Therefore, by using the formula of the volume of a cube, we get the final equation as:

$a^3 = 64$

$\implies a = \sqrt[3]{64}$

$\implies a = \sqrt[3]{4^3}$

$\implies a = \sqrt[3]{4 \times 4 \times 4}$

$\implies \bold{a = 4}$

Thus, the length of the cube is → 4 m.

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