The figure shows the amount of water in two rectangular tanks, Y and Z, at first. George poured ¹₃ of the water from Y into Z to fill it to the top, without overflowing.

1. How much water was there in Tank Y at first?
2. George then poured all the water from Tank Z into Tank Y. 6336 cm³ of water overflowed from Tank Y. What was the height of Tank Y?

(a)
Volume of water to fill Tank Z
= 22 x 19 x 17
= 7106 cm<sup>3

1</sup>₃ of volume of water in Tank Y at first = 7106 cm^3  
3₃ of volume of water in Tank Y at first = 3 x 7106 = 21318 cm³

Volume of water in Tank Y at first = 21318 cm³

Volume of water in Tank Z at first
= 22 x 19 x 21
= 8778 cm³

Total volume of water in Tank Y and Tank Z 
= 21318 + 8778
= 30096 cm³

Final volume of water in Tank Y after 6336 cm³ of water overflowed
= 30096 - 6336
= 23760 cm³

Base area of Tank Y
= 24 x 22
= 528 cm²

Height of Tank Y
= 23760 ÷ 528 
= 45 cm

Answer(s): (a) 21318 cm² ; (b) 45 cm