The figure shows the amount of water in two rectangular tanks, E and F, at first. Perry 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. Perry then poured all the water from Tank F into Tank E. 2754 cm³ of water overflowed from Tank E. What was the height of Tank E?

(a)
Volume of water to fill Tank F
= 17 x 14 x 14
= 3332 cm<sup>3

1</sup>₅ of volume of water in Tank E at first = 3332 cm^3  
5₅ of volume of water in Tank E at first = 5 x 3332 = 16660 cm³

Volume of water in Tank E at first = 16660 cm³

Volume of water in Tank F at first
= 17 x 14 x 17
= 4046 cm³

Total volume of water in Tank E and Tank F 
= 16660 + 4046
= 20706 cm³

Final volume of water in Tank E after 2754 cm³ of water overflowed
= 20706 - 2754
= 17952 cm³

Base area of Tank E
= 22 x 17
= 374 cm²

Height of Tank E
= 17952 ÷ 374 
= 48 cm

Answer(s): (a) 16660 cm² ; (b) 48 cm