The figure shows the amount of water in two rectangular tanks, D and E, at first. Daniel poured ¹₄ of the water from D into E to fill it to the top, without overflowing.

1. How much water was there in Tank D at first?
2. Daniel then poured all the water from Tank E into Tank D. 340 cm³ of water overflowed from Tank D. What was the height of Tank D?

(a)
Volume of water to fill Tank E
= 17 x 14 x 13
= 3094 cm<sup>3

1</sup>₄ of volume of water in Tank D at first = 3094 cm^3  
4₄ of volume of water in Tank D at first = 4 x 3094 = 12376 cm³

Volume of water in Tank D at first = 12376 cm³

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

Total volume of water in Tank D and Tank E 
= 12376 + 4046
= 16422 cm³

Final volume of water in Tank D after 340 cm³ of water overflowed
= 16422 - 340
= 16082 cm³

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

Height of Tank D
= 16082 ÷ 374 
= 43 cm

Answer(s): (a) 12376 cm² ; (b) 43 cm