The figure shows the amount of water in two rectangular tanks, V and W, at first. Oscar 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. Oscar then poured all the water from Tank W into Tank V. 23672 cm³ of water overflowed from Tank V. What was the height of Tank V?

(a)
Volume of water to fill Tank W
= 22 x 19 x 19
= 7942 cm<sup>3

1</sup>₅ of volume of water in Tank V at first = 7942 cm^3  
5₅ of volume of water in Tank V at first = 5 x 7942 = 39710 cm³

Volume of water in Tank V at first = 39710 cm³

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

Total volume of water in Tank V and Tank W 
= 39710 + 8778
= 48488 cm³

Final volume of water in Tank V after 23672 cm³ of water overflowed
= 48488 - 23672
= 24816 cm³

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

Height of Tank V
= 24816 ÷ 528 
= 47 cm

Answer(s): (a) 39710 cm² ; (b) 47 cm