The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank K, measuring 50 m by 35 m by 21 m, is filled with water to its brim. Tank J is an empty cuboidal container with a length of 23 m. Slider 1 is lifted to release ²₃ of the water from Tank K to Tank J, after which the partition is slid down to separate Tank K and Tank J. Next, Slider 2 is removed and some water from Tank J flows into Tank H such that the height of the water level of Tank J and Tank H is 10 m.

1. What is the length of Tank H?
2. How many m³ of water are there in Tank J?

(a)
Volume of water in the Tank K that flows into the Tank J
= 50 x 35 x 21 x ²₃ 
= 24500 m³ 

Base area of Tank J and Tank H
= 24500 ÷ 10
= 2450 m² 

Length of Tank H and Tank J
= 2450 ÷ 35
= 70 m

Length of Tank H
= 70 - 23
= 47 m

(b)
Volume of water in Tank J
= 23 x 35 x 10
= 8050 m³ 

Answer(s): (a) 47 m; (b) 8050 m³