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

1. How much water was there in Tank V at first?
2. Ivan then poured all the water from Tank W into Tank V. 6066 cm³ of water overflowed from Tank V. What was the height of Tank V?

(a)
Volume of water to fill Tank W
= 18 x 15 x 14
= 3780 cm<sup>3

1</sup>₅ of volume of water in Tank V at first = 3780 cm^3  
5₅ of volume of water in Tank V at first = 5 x 3780 = 18900 cm³

Volume of water in Tank V at first = 18900 cm³

Volume of water in Tank W at first
= 18 x 15 x 17
= 4590 cm³

Total volume of water in Tank V and Tank W 
= 18900 + 4590
= 23490 cm³

Final volume of water in Tank V after 6066 cm³ of water overflowed
= 23490 - 6066
= 17424 cm³

Base area of Tank V
= 22 x 18
= 396 cm²

Height of Tank V
= 17424 ÷ 396 
= 44 cm

Answer(s): (a) 18900 cm² ; (b) 44 cm