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

1. How much water was there in Tank N at first?
2. Elijah then poured all the water from Tank P into Tank N. 513 cm³ of water overflowed from Tank N. What was the height of Tank N?

(a)
Volume of water to fill Tank P
= 19 x 15 x 13
= 3705 cm<sup>3

1</sup>₄ of volume of water in Tank N at first = 3705 cm^3  
4₄ of volume of water in Tank N at first = 4 x 3705 = 14820 cm³

Volume of water in Tank N at first = 14820 cm³

Volume of water in Tank P at first
= 19 x 15 x 17
= 4845 cm³

Total volume of water in Tank N and Tank P 
= 14820 + 4845
= 19665 cm³

Final volume of water in Tank N after 513 cm³ of water overflowed
= 19665 - 513
= 19152 cm³

Base area of Tank N
= 24 x 19
= 456 cm²

Height of Tank N
= 19152 ÷ 456 
= 42 cm

Answer(s): (a) 14820 cm² ; (b) 42 cm