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

1. How much water was there in Tank E at first?
2. Albert then poured all the water from Tank F into Tank E. 9952 cm³ of water overflowed from Tank E. What was the height of Tank E?

(a)
Volume of water to fill Tank F
= 16 x 14 x 15
= 3360 cm<sup>3

1</sup>₅ of volume of water in Tank E at first = 3360 cm^3  
5₅ of volume of water in Tank E at first = 5 x 3360 = 16800 cm³

Volume of water in Tank E at first = 16800 cm³

Volume of water in Tank F at first
= 16 x 14 x 17
= 3808 cm³

Total volume of water in Tank E and Tank F 
= 16800 + 3808
= 20608 cm³

Final volume of water in Tank E after 9952 cm³ of water overflowed
= 20608 - 9952
= 10656 cm³

Base area of Tank E
= 18 x 16
= 288 cm²

Height of Tank E
= 10656 ÷ 288 
= 37 cm

Answer(s): (a) 16800 cm² ; (b) 37 cm