If diagonal of a cube is
108
cm, then the volume (in cm
3
) of the cube is:
- A214
- B216
- C228
- D226
Solution & Step-by-step Explanation
Let the side length of the cube be a.
The formula for the diagonal of a cube is given by:
Diagonal=a
3
Given that the diagonal is
108
cm:
a
3
=
108
Square both sides:
3a
2
=108
a
2
=
3
108
=36⟹a=6 cm
Now, calculate the volume (V) of the cube:
V=a
3
=6
3
=216 cm
3
The formula for the diagonal of a cube is given by:
Diagonal=a
3
Given that the diagonal is
108
cm:
a
3
=
108
Square both sides:
3a
2
=108
a
2
=
3
108
=36⟹a=6 cm
Now, calculate the volume (V) of the cube:
V=a
3
=6
3
=216 cm
3