The figure is not drawn to scale. Tank P measuring 54 cm by 45 cm by 17 cm contained 31.87 ℓ of water. Tank Q measuring 40 cm by 25 cm by 34 cm contained 17 ℓ of water. Sam poured some water from Tank P into Tank Q without spilling and the water level of Tank Q rose to 27 cm. What was the height of water level left in Tank P?
1 ℓ = 1000 cm³
17 ℓ = 17000 cm³
31.87 ℓ = 31.87 x 1000 = 31870 cm³

Height of water in Tank Q at first
= 17000 ÷ 40 ÷ 25
= 17 cm

Increase in the height of water in Tank Q
= 27 - 17
= 10 cm

Volume of water poured into Tank Q
= 40 x 25 x 10
= 10000 cm³ 

Volume of water left in Tank P
= 31870 - 10000
= 21870 cm³ 

Height of water left in Tank P
= 21870 ÷ 54 ÷ 45
= 9 cm

Answer(s): 9 cm