Question

The diagonal of a cube is 4 root 3 cm what is its volume

Answer 1

Relation betn diagonal of cube 'd' and side 's'

d=√3s

now d=4√3

4√3=√3s

s=4

now volume of cube = s^3

4^3

64 cubic cm

Answer 2

The volume of cube is 64 cm³.

Step-by-step explanation:

Given : The diagonal of a cube is 4 root 3 cm.

To find : What is its volume ?

Solution :

The diagonal of a cube is $d=\sqrt3 a$

where, a is the side

The diagonal $d=4\sqrt3$

Substitute in the formula,

$4\sqrt3=\sqrt3 a$

$a=\frac{4\sqrt3}{\sqrt3}$

$a=4$

The side of the cube is 4 cm.

The volume of the cube is given by,

$V=a^3$

$V=4^3$

$V=64$

Therefore, the volume of cube is 64 cm³.

#Learn more

The volume of a cube is double the volume of a cuboid. If the volume of the cuboid is 6.912cm cube. Find the length of an edge of cube..

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