Question

the volume of a cube whose diagonal is 3.6m is

Answer 1

Volume of cube = d^3
So, d^3= ( 3.6)^3=46.656 metre cubed

Answer 2

Answer:

The volume of the cube is 8.979 meter cube.

Step-by-step explanation:

Given : Diagonal is 3.6 m

To find : The volume of a cube

Solution :

The diagonal of a cube is $D=\sqrt{3}a$

Diagonal is given D=3.6 m

$3.6=\sqrt{3}a$

$a=\frac{3.6}{\sqrt{3}}$

Now, The volume of the cube is $V=a^3$

The side of the cube is $a=\frac{3.6}{\sqrt{3}}$

$V=(\frac{3.6}{\sqrt{3}})^3$

$V=\frac{3.6\times 3.6\times 3.6}{\sqrt{3}\times\sqrt{3}\times\sqrt{3}}$

$V=\frac{46.656}{5.1961}$

$V=8.9789$

Therefore, The volume of the cube is 8.979 meter cube.