The figure shows a sealed bottle of height 39 cm. It is made from two containers. The top container is in the form of a cuboid with a square base. The bottom container is in the form of a cube of side 20 cm. The height of the water in the bottle (shown in Figure A) is 15 cm.

When the same bottle is turned upside down (shown in Figure B), the height of the water in the bottle is 27 cm. How much water can the sealed bottle hold if it is completely filled?
Volume of water in Figure A
= 20 x 20 x 15
= 6000 cm³

Height of the cubical container in Figure B not filled with water
= 39 - 27
= 12 cm

Height of the water in cubical container in Figure B
= 20 - 12
= 8 cm

Volume of water in the cubical container in Figure B
= 20 x 20 x 8
= 3200 cm³

Volume of the cuboid
= 6000 - 3200
= 2800 cm³

Volume of the cubical container
= 20 x 20 x 20
= 8000 cm³

Volume of water in the sealed bottle if it is completely filled
= 2800 + 8000
= 10800 cm³

Answer(s): 10800 cm³