The diagonal of a cubical block of wood is
192
cm. Find its volume.
- A512cm
3 - B216cm
3 - C343cm
3 - D729cm
3
Solution & Step-by-step Explanation
Note: The question text contains structural formatting artifacts like "192 cm" combined with repeated sequences. The diagonal of a cube with side a is given by a
3
. Let's find a when the diagonal is
192
:
Diagonal=
192
=
64×3
=8
3
cm
We know that:
Diagonal=a
3
8
3
=a
3
⟹a=8cm
Now, the volume of a cube is given by a
3
:
Volume=a
3
=8
3
=512cm
3
Therefore, the volume is 512cm
3
.
3
. Let's find a when the diagonal is
192
:
Diagonal=
192
=
64×3
=8
3
cm
We know that:
Diagonal=a
3
8
3
=a
3
⟹a=8cm
Now, the volume of a cube is given by a
3
:
Volume=a
3
=8
3
=512cm
3
Therefore, the volume is 512cm
3
.