The figure shows the amount of water in two rectangular tanks, A and B, at first. Jack poured ¹₅ of the water from A into B to fill it to the top, without overflowing.

1. How much water was there in Tank A at first?
2. Jack then poured all the water from Tank B into Tank A. 9234 cm³ of water overflowed from Tank A. What was the height of Tank A?

(a)
Volume of water to fill Tank B
= 19 x 15 x 16
= 4560 cm<sup>3

1</sup>₅ of volume of water in Tank A at first = 4560 cm^3  
5₅ of volume of water in Tank A at first = 5 x 4560 = 22800 cm³

Volume of water in Tank A at first = 22800 cm³

Volume of water in Tank B at first
= 19 x 15 x 18
= 5130 cm³

Total volume of water in Tank A and Tank B 
= 22800 + 5130
= 27930 cm³

Final volume of water in Tank A after 9234 cm³ of water overflowed
= 27930 - 9234
= 18696 cm³

Base area of Tank A
= 24 x 19
= 456 cm²

Height of Tank A
= 18696 ÷ 456 
= 41 cm

Answer(s): (a) 22800 cm² ; (b) 41 cm